This isn't Europe. You would not be able to buy a gun but most places would loan you one or rent it to you. If a course is offered and you meet the firearms-handling experience and equipment requirements you should be able to attend any firearms training offered to the public that I am aware of. I know of nowhere that training is restricted with the exception of private and military operations. If offered to the public, there is no problem I can think of.
BTW, it is the same way in Prague and here in Ukraine. For the right amount of money, I can drive a tank, fire the tank gun, open up with an AK, shoot an RPG, snipe with a 12.7mm rifle and a few other interesting events.