No doubt possible, but it will make your life difficult.
The main problem is, with five days off between lessons its so easy to forget what you learnt last time, the exaggerated pre-take off checks for example!!!! You'll find yourself trying to remember these things on your next lesson, which will probably lead to going well over the minimum hours and ultimately, may well lead to you struggling for first time passes.
This is all going to cost you time and money. Also, if you're doing all this over the winter you're probably going to miss loads of lessons through weather and this will give you a real headache.
I was strongly considering doing what you're proposing, but glad I didn't. Two of us started CPL on the same day. Me full time, him weekends. By the time I finished I think he had accumulated about 5 or 6 hours!
Good luck with whatever you decide.