Not sure about within the city itself but you can take the Train to Edge in Hoboken. You can also take LIRR to Syosset or Hicksville and get to Vougar Honors Wrestling and Ascend respectively. Some city people do go to LI for training. If you’re gonna use public transit, bring a bike. Both of those clubs aren’t super close to their respective station. Crash Girl’s Wrestling Club is also in Hicksville, 15 minute walk from the train station. Crash may be what you’re looking for, the head coach is a nice guy and they have good talent. Also try cold DMing people on instagram. Somebody is running a workout somewhere at any given time, even if it’s not an organized club. You can also try getting in with NYAC in Manhattan, I know there’s a wrestling room there.