Is there any pulumi api that runs the custom resource as cloudformation! https://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/template-custom-resources.html

We have cloudformation resources that might help https://www.pulumi.com/docs/reference/pkg/aws/cloudformation/stack/

I thought of this use case but looks like it doesn’t satisfy what i want to do, I am trying to call the lambda function which is more like a custom resource, any other method calling it using pulumi?

Do you mean you want to treat the lambda function like a resource provider you interact with? For example the lambda function presents some sort of API that you can then create/update/delete resources against? If so, then a dynamic provider might be what you want: https://www.pulumi.com/blog/dynamic-providers/