Yes, of course that’s allowed. Be aware that if you’re name of not on the lease or deed that your mother can kick you out though. Depending on where you live you may have less rights if you aren’t paying rent. In the US it doesn’t matter if you’re paying rent and they’d have to go through a formal eviction process. While of hope your mother wouldn’t kick you out for going on a date, the situation already seems extreme. But yes, you’re legally allowed to do this.