Integrate Api Gateway with Cognito Identity Pools for IAM aut

I think what you are looking for is to create a userpool with in cognito and then leverage that as an authorizer for your API Gateway. To use an Amazon Cognito user pool with your API, you must first create an authorizer of the COGNITO_USER_POOLS type and then configure an API method to use that authorizer. After the API is deployed, the client must first sign the user in to the user pool, obtain an identity or access token for the user, and then call the API method with one of the tokens, which are typically set to the request's Authorization header. The API call succeeds only if the required token is supplied and the supplied token is valid, otherwise, the client isn't authorized to make the call because the client did not have credentials that could be authorized.

I have pasted a link below which explains the steps of creating a userpool and configuring your API gateway to user Cognito as an authorizer.

https://docs.aws.amazon.com/apigateway/latest/developerguide/apigateway-integrate-with-cognito.html