As long as you want them to send data to you, they have to know where to send that data. So there is no possibility to not have an IP. Except from shutting down your bittorrent client.
You can get a different IP though. An IP address that isn’t traceable to you. And use that IP. But you definitely need one, or you can’t receive data. At least the way bittorrent works. That would be a VPN or service provider who doesn’t tell on you, or another layer like TOR.
[Edit: Sorry. Might have misread your comment. Updated my previous reply. Use a VPN for example]