The simple answer is YES!
So you decided to re-do your bathroom, the first thing you got to do is buy your suite whether it a standard toilet, sink and bathroom furniture. Or are you looking a bit further than that looking at steam showers and whirlpool baths. No matter what you fitting in your bathroom you could fit it yourself.
A professional could come out and yes I agree could probably do a better job while you relax. But you would be looking at a quote around £2600 to rip out your old bathroom and then re-install the new one. So looking at that price most people would at least wonder if they could do it themselves.
Well through the powers of the internet (YouTube) and a lot of patience the answer to this question is yes. Using YouTube videos and how to guides you can learn almost anything you need to know about plumbing a bath or electrically connecting a shower.
So using the utility's we have you are capable of fitter your own bathroom.