Space

My boyfriend told me he wanted space, we had a big fight last night because I peeped his phone and seen some stuff I didn’t like that I felt was disrespectful to me, he did the same thing a while ago and I asked him not to do and he stopped for a while and is now doing so again. So we fought and he left back to his moms. Didn’t talk to him until today and today he said he needed space and wants to take the weekend and stay at his moms. Should I assume that our relationship is over? And we aren’t getting back together? Or what does “space” mean? I tried to text him and ask him to come talk and he said he doesn’t think it’s a good time to and maybe tomorrow. And asked me to stop texting him.