Does the person who owns and runs a PC, can they find out if someone has pinged there address,(Example) if someone was to try and access your PC without your knowledge i.e(HACKERS), and the firewall picks it up and blocks it, and they leave local address and remote address if i had a tracing software will they know that they've had there address pinged.

. and can someone tell me what address(LOCAL) or (REMOTE) that i trace thanks for any input.