Cognito idp sign in with custom challenge ?

Is a custom auth challenge (like amplify signinwithredirect) possible when doing federated sign in using an IDP like google or linkedin? (define, create, verify..)

I'm trying it, and when I try google sign in, authentication succeeds without lambda being triggered.

I would like to challenge custom MFA (TOTP) while using signinwithredirect (amplify or others...)