If she asks you, yeah, I see no reason to say "no, you can't come," but you don't want to be offering up a bunch of details about where you're going and with whom. You are trying to be "aloof" here and you want to make her think about what you may be doing.
The key here is to actually DO things, not just leave to go mope somewhere else. The gym, Concerts, out for drinks/dinner with friends, hobbies you've let slide that made you happy and you'd like to pick up again.
The focus needs to be on you and improving you. If she like what you're showing out, you've left the door open for her to return, and if that happens, I'll start providing different advice. Right now, though, it's all you, Mikey!
