Well - it used to be possible when the UK PPL only required 35 hours of training. From my logbook:
25 Mar - First trip
29 Mar - First solo
12 Apr - Qualifying Cross-country
19 Apr - PPL Test
That was at Cranfield - some years ago, I might add! Pretty well impossible nowadays with the JAR/FCL PPL - but perhaps it might be possible next year with the NPPL??