Yes, OpenID Connect supports all OAuth 2.0 grant types including Resource Owner Password Credentials Grant and Client Credentials Grant.
As we know, Authorization Code Grant and Implicit Grant are typical 3-legged flows including interaction between a client, an authorization server and a user. While the Resource Owner Password Credential Grant and Client Credential Grant are 2-legged which means the client uses pre-authorized scopes so that no interaction with the user is necessary, removing the need to perform one of the legs in the typical flow.
Here is a reference: Configuring an OpenID Connect Provider to enable 2-legged OAuth requests