Is it possible to charge the removed battery?

[tl;dr]If i remove the battery from my phone is it possible to charge it?

My phone has been unresponsive since i tried to charge it with a new usb cable.

I checked and it seems the problem is the charging port , i consulted some repair guys and they told me that it's hard to repair it and would not take the risk.

I don't really care for the phone my priority is to recover my data

So I was thinking of removing the battery and recharge it then put it back again and do backups but i was wondering if this is even possible or if i need any special tools or if there is another alternative