Is it considered acceptable to invite yourself to someone’s house?

I’m not originally from the U.K. so I wanted to gauge peoples opinions.

Is it ever acceptable to invite yourself to someone’s home? And if you’re being hosted are we all bringing a token of appreciation, bottle of wine, flowers or dessert etc?

I’ve had a disagreement with this school mum who I recently met. She’s very comfortable asking for things which I’d been finding increasingly grating. It first started by asking to come to my home, initially I was very welcoming. That then turned to her asking to spend the night (even on a school night)! This then turned into an almost near weekly routine, she’d be in my home for 10 hours+, 3 days later she’d come back again insisting to be hosted yet again. That then turned into asking to put things on my credit card, “run it through your business” she’d say.

I eventually distanced myself after which point I got a very entitled message demanding to know why she hadn’t seen me or been invited over. It’s honestly been such a bizarre experience that I’ve been left second guessing myself. So please share your thoughts.

Edit: I must add there is far more to this that I haven’t added here, I am certain there isn’t any DV. If anything I became concerned about her husband, based on the way she talked about him.