Does IMessage always work with wifi?

My mom is shutting off my iPhone, and temporarily restricting it. I have wifi in the house and I know it does help with iMessage. I can also download an app and text off of that. But should my regular iMessage work if I am connected to the wifi in my house?

Haha yes it does! Gotta love outsmarting parents! Don't tell your parents or make it noticeable that your texting! Haha! I've done it a few times myself:)