I want software that will prevent people from detecting my I.P. and tracking it to me. Can Peer Block be used for this? If not, is there another solution?
No, peerblock is not designed to obfuscate your IP Address. It will reject connections from 'known bad' IP Address lists (still a good idea, but not what you're looking for).
To obfuscate your true IP Address, use a VPN.
7 Completely Free VPN Services To Protect Your Privacy
CyberGhost: Surf Anonymously With A Free VPN Connection
How To Use a Fake IP Address & Mask Yourself Online