Does Android Volley support SSL?

You can refer to my working sample code. Hope this helps!

public class MainActivity extends AppCompatActivity {

    private TextView mTextView;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);

        mTextView = (TextView) findViewById(R.id.textView);

        String url = "https://192.168.1.100/testvolley";

        HurlStack hurlStack = new HurlStack() {
            @Override
            protected HttpURLConnection createConnection(URL url) throws IOException {
                HttpsURLConnection httpsURLConnection = (HttpsURLConnection) super.createConnection(url);
                try {
                    httpsURLConnection.setSSLSocketFactory(getSSLSocketFactory());
                    httpsURLConnection.setHostnameVerifier(getHostnameVerifier());
                } catch (Exception e) {
                    e.printStackTrace();
                }
                return httpsURLConnection;
            }
        };

        final JsonObjectRequest jsonObjectRequest = new JsonObjectRequest(Request.Method.GET, url, new Response.Listener<JSONObject>() {
            @Override
            public void onResponse(JSONObject response) {
                try {
                    mTextView.setText(response.toString(5));
                } catch (JSONException e) {
                    mTextView.setText(e.toString());
                }
            }
        }, new Response.ErrorListener() {
            @Override
            public void onErrorResponse(VolleyError error) {
                mTextView.setText(error.toString());
            }
        });

        final RequestQueue requestQueue = Volley.newRequestQueue(this, hurlStack);

        requestQueue.add(jsonObjectRequest);
    }

    // Let's assume your server app is hosting inside a server machine
    // which has a server certificate in which "Issued to" is "localhost",for example.
    // Then, inside verify method you can verify "localhost". 
    // If not, you can temporarily return true
    private HostnameVerifier getHostnameVerifier() {
        return new HostnameVerifier() {
            @Override
            public boolean verify(String hostname, SSLSession session) {
                //return true; // verify always returns true, which could cause insecure network traffic due to trusting TLS/SSL server certificates for wrong hostnames
                HostnameVerifier hv = HttpsURLConnection.getDefaultHostnameVerifier();
                return hv.verify("localhost", session);
            }
        };
    }

    private TrustManager[] getWrappedTrustManagers(TrustManager[] trustManagers) {
        final X509TrustManager originalTrustManager = (X509TrustManager) trustManagers[0];
        return new TrustManager[]{
                new X509TrustManager() {
                    public X509Certificate[] getAcceptedIssuers() {
                        return originalTrustManager.getAcceptedIssuers();
                    }

                    public void checkClientTrusted(X509Certificate[] certs, String authType) {
                        try {
                            if (certs != null && certs.length > 0){
                                certs[0].checkValidity();
                            } else {
                                originalTrustManager.checkClientTrusted(certs, authType);
                            }
                        } catch (CertificateException e) {
                            Log.w("checkClientTrusted", e.toString());
                        }
                    }

                    public void checkServerTrusted(X509Certificate[] certs, String authType) {
                        try {
                            if (certs != null && certs.length > 0){
                                certs[0].checkValidity();
                            } else {
                                originalTrustManager.checkServerTrusted(certs, authType);
                            }
                        } catch (CertificateException e) {
                            Log.w("checkServerTrusted", e.toString());
                        }
                    }
                }
        };
    }    

    private SSLSocketFactory getSSLSocketFactory()
            throws CertificateException, KeyStoreException, IOException, NoSuchAlgorithmException, KeyManagementException {
        CertificateFactory cf = CertificateFactory.getInstance("X.509");
        InputStream caInput = getResources().openRawResource(R.raw.my_cert); // this cert file stored in \app\src\main\res\raw folder path

        Certificate ca = cf.generateCertificate(caInput);
        caInput.close();

        KeyStore keyStore = KeyStore.getInstance("BKS");
        keyStore.load(null, null);
        keyStore.setCertificateEntry("ca", ca);

        String tmfAlgorithm = TrustManagerFactory.getDefaultAlgorithm();
        TrustManagerFactory tmf = TrustManagerFactory.getInstance(tmfAlgorithm);
        tmf.init(keyStore);

        TrustManager[] wrappedTrustManagers = getWrappedTrustManagers(tmf.getTrustManagers());

        SSLContext sslContext = SSLContext.getInstance("TLS");
        sslContext.init(null, wrappedTrustManagers, null);

        return sslContext.getSocketFactory();
    }
}

IMO, you should also read more at Google’s Documentation – Security with HTTPS and SSL