Yes and no.
UK is part of Region 2, but many players are multi-region now (or can be modified to play multi-region). You need to watch out for whether the DVD is PAL or NTSC encoded as well (UK uses PAL, other Region 2 areas like Japan use NTSC, as well as the US using NTSC).
http://www.hometheaterinfo.com/dvd3.htm has more detailed info.