Yes, most definitely. I have a friend who owns two westies, and I myself own a little shih tzu and a chihuahua. Chihuahuas cannot live outside, and neither can shih tzus, as they both are breeds with large eyes which can easily get grass seeds and prickles in them, and tzus have long hair that is easy to matt. However, westies do not have these problems, as they have a medium length coat and they certainly do not have any problem features. It might be a good idea to keep your westie out of the dirt though, as that white coat could get stained easily. Also, when you bring him/her back inside, make sure to check the coat for prickles which may cause matting, and ticks!! You will need to part the hair thoroughly (with a flea comb, preferably) and check each part of the skin. Check for ticks once a week.