It's probably allowed. The CAA only specifies that you have to keep a log, somehow, of your hours, and some breakdown of those hours. But it doesn't specify that you cannot record it in two or three places, or something like that.
However, doesn't your logbook contain endorsements from instructors, signatures from examiners, stamps from flight schools and that sort of thing? They're going to be very hard to replace.
Personally I would not bother. A somewhat messy logbook is a sign that you've lived!