No way will you finish in Jan !
The best way to fly is do 3 half days a week ( day on day off ) flying 2 lessons in each session. That makes about 6 to 7 hours a week, any more then the training becomes counter productive ! So with 9 weeks to end of Jan then theoretically yes but with factors such as weather, aircraft availability, instructor etc etc plus the weather for 10 hour solo you are really pushing water uphill. If the school says no problem I would go else where
Well my pony worth