I think universally most people including men do not think its a great idea to remote back pack by yourself. But there’s no law against it. You are free to engage in risky behavior but it might go badly for you. Frankly I’m not sure your manly man card takes a hit if you back pack with a buddy.
Remote backpacking? Central Park isn’t really made for backpacking, you have some weird hangups about men evidently, as you keep pushing them to be more woman like, and getting more nasty as you keep obsessing with it.