Sure, you can feed the creatures. Also, it's only a very small handful of TLSQs that actually give you house points. If you do acidentally get some, it is possible to disconnect before finishing the dialogue, but the game will sometimes save during conversations and also autosaves if you quit manually sometimes, but there is a way around that.
On my emulator I have "airplane mode" which prevents it from connecting to the internet. If I turn that on, It prevents the game from syncing to the server which prevents data from being sent. You can turn airplane mode on and quit. That'll prevent the game from saving and syncing your house points.
Again, it's only a very small amount of TLSQ which give house points, so you shouldn't really have much to worry about.