No, I have the node running on a home server, and I have Bitsquare running on a different PC. I pointed Bitsquare to the node on the server by using it's IP address, but it keeps losing connection.
I do not believe the problem is with Bitsquare. I believe the problem is with my node. When I began investigating, I noticed that my Bitcoin Core node was 5 weeks behind on the blockchain. It was not connecting to any peers. I reset the settings and it started connecting to peers. Eventually it caught back up on the blockchain. But I still think there might be something wrong.
I ended up taking my node out of the Custom Peers setting, and allowing Bitsquare to connect to other peers on the bitcoin network. This fixed the problems I was having.