present perfect - Can I say: I have not gone to the cinema for a long time

Joe asks me: "Do you often go to the cinema?"

I reply: "No, I have not been to the cinema for a long time"

This is correct.

But can I say:

"I have not gone to the cinema for a long time"

Answer

I have not gone to the cinema in a long time

I have not been to the cinema in a long time
I have not seen a movie in a theatre for a long time

All have basically the same meaning that you have not seen a movie, eating popcorn and drinking soda, in a building for a while.

The present perfect is used since it was a situation which began in the past and continues