Is there a way to tell if a request is coming from the Suitelet in a User Event Before Submit function. I want my function not to run if if the change is being requested by the Suitelet

You can set a session object when executing from the suitelet and check whether it exists when the user event is triggered.

You can also try getting the Execution Context, I think it will show 'SUITELET' if a suitelet is the trigger of the script