Can I move a domain with URL I have to Homestead?

https://www.handcrafted-building-with-logs.org/contact.html  is my web domaine with Weebly which is now Square. 

I have put a lot of work into it but there is a lot of disconnects in the switch of Weebly having been bought by Square. Can I sign up for Homestead and keep my Domaine / URL above??