Yes, you can, first do a nslookup (or traceroure) on the IP address, this should reveal the ISP domain name (you may see something like "dialup087.badassisp.com". then go to the ISPs web site (
www.badassisp.com) and get some contact information for that company. Then ring them and explain what has happened stating the exact time the intrusion occured and the IP address of the offender. The ISP will have logs of who was using that ISP and at what time. From here its up to the ISP to do something (not sure about the laws in your country but you may be able to involve them as well). The ISP may suspend, remove, or take legal action against the person who used the IP address at that time.