Battery Socket disconnected from the Board. Can I resolder it?

Hello.

I tried to install SSD on my MacBook Air (Original).

But after my installation, Battery was unconnectable and was not in charge. The whole MacBook was powered by AC Power.

After researching over, I found out that I've disconnected the battery connector, Straight UP. (OMG and, LOL)

Result? Socket is out of reach by main board and is not in connection.

I'm wondering If I could resolder the socket right into its place. Will it work?