Sorry to rain on the parade here.
If you were at somewhere like Clacton where the Cub PPL includes time on a 152, you get both tail and nose dragger time i.e. it is feasible.
If your school does not have a taildragger, I would forget that for now. Juggling two schools with an incomplete PPL is just too much hassle. Focus on your PPL for now and then do differences afterward.
Your nearest school conducting tailwheel iirc would be Kemble but is very pricey!