Yes, you can do this by binding your application to a custom URI scheme and then creating a link with your custom URI scheme which, when selected, will open your app.
To register the custom URI scheme you’ll need to modify the info.plist file and assign your custom value to the URL Identifier object.
You can review the iPhone OS Programming Guide Apple developer documentation for further details or this article which details the step-by-step process in-depth.
Or you can check out the official documentation from Apple.