Legal Question in Business Law in Florida

The simple answer is YES. Most anyone can sue most anyone else for most any reason. The real question is do you have a case? or will you get your suit dismissed and have to pay the attorneys fees for the other party because you filed frivolous litigation.

Your question provides zero facts upon which any attorney could make any conclusions, other than you are angry. When evaluating a situation an attorney must determine 1) Is there a cause of action? in other words did someone do something wrong (legally)? 2) Were there damages as a result of the wrongful act? in other words how were you hurt by the actions 3) What is the likelihood of being able to prove the allegations of wrongdoing? 4) What is the likelihood of recovery from the person or party who did something wrong?

There are of course many other factors that a good attorney would consider, but those are the basics.

LA Fitness may be well within their rights to revoke a membership. They are a private business and with few exceptions can deny services to anyone they wish. There is no inherent or Constitutional right to gym membership, and I am not aware of any law that entitles one to a membership at a private gym.

You do not indicate why they revoked. You don't indicate how the revocation of membership hurt you. Obviously it means you can't go to LA Fitness, but what is the actual harm? Hurt feelings or embarrassment do not constitute damages in court.

Simply asking if you can sue is not enough information to get you any type of real answer. However, I am going to speculate that a law suit against LA Fitness for not allowing you to go their private gym is not going to result in a favorable outcome for you.