I reckon if you went full time (there are full time FTOs out there) you could get it done in the UK easily in that time.
More than a few years ago, admittedly, but I took my PPL on a full-time basis in the Channel Islands (an option well worth considering). Looking at my log book, I see my first lesson was on the 25th September, and I passed the GFT a little over three weeks later on the 17th October. There were only five days in that period that I didn't fly! I cannot recall whether they were the result of weather, instructor availability or exam study. On the days I did fly, I averaged two and a quarter hours per day.