Is this correct?

“Are you all able to go to the park tomorrow?”

That's correct, but probably more common in the southern part of the U.S.

More common elsewhere would be
Are all of you able to go to the park tomorrow?

Or --

Can all of you go to the park tomorrow?

As an AI text-based model, I don't have access to real-time information or context about specific situations. However, I can still help you understand how to determine if a statement is correct or not.

To assess the correctness of the given statement, you would need to consider the plans and availability of the people involved. You can start by asking the individuals if they are able to go to the park tomorrow. Their responses will determine whether the statement is true or false.

Ultimately, the accuracy of the statement depends on the confirmation or denial from the people mentioned.