In most cases, no. You are likely to be using a dynamic IP address that is changing. You could be traced to the owner of the IP block from which it was allocated (almost certainly your ISP). The ISP may have records to show what MAC numbers (Media Access Control, not the Apple computers! every interface hardware card should have a unique MAC, although these can be cloned) the IPs are allocated to at a particular time, but then someone would have to know the MAC of your cable modem/router or whatever. The police could probably manage the complete trace through if they got the records from the ISP but it’s not something that anyone could manage to do easily. You’d have to be doing something seriously bad before anyone would allocate the time and resources to find you.