Can people who are no longer together live together?

So my boyfriend and father of the beautiful growing child inside me ended things Wednesday night. I took it pretty hard but starting accepting it. Yesterday he comes home from work telling me about his day, gave me a hug, kissing me and telling me he loved me. He was texting me while at work saying he loved me and asking how my day was. Being obviously confused with what was going on, when he came home today I straight up asked him if he wanted to be together. He said no, when I asked why he was acting like nothing had changed he said that I didn’t stop him from doing it and he was being “friendly”. Yes I did let him, but I was thinking he didn’t mean it when he broke up with me and now I feel hurt because I got my hopes up.. so here’s the deal, we have a place together, both our names our one it and neither one of us can afford it without the other. I should mention that I have a 2 year old from my previous marriage. Anyway, he wants us to stay here so my daughter and I have a safe place to stay (I have nowhere else to go) and so he can bond with the baby and spend those first 6 months with him (he’s due in September) and then to our separate ways when the lease is up in May of next year..

Do you think this is possible? To live together? I’m so hurt right now it’s hard to imagine having to see him everyday but I have to think of my daughter. My mom has no room for me, my friends don’t either and I don’t want to inconvenience them. The rest of my family is out of state and I’m not allowed to move out of with my daughter. Any advice would be great...