I'm assuming that you want to walk the
Camino Frances - the popular route from the Pyrenees to Santiago. It is totally do-able. You won't be able to walk over the Napoleon route, which will be closed at least until April 1. The walk from SJPP to Roncesvalles through Valcarlos could also be snowy. You might consider starting in Roncesvalles. Otherwise, just go prepared with layers for all weather possibilities (see many other threads about this) and you will be fine.
Some albergues will still be closed, so don't show up in a tiny village with one albergue and assume it will be open. Just check in advance. There will be albergues open in all the popular stopping places.
Welcome to the forum, and happy planning! The search box in the upper right of the screen will lead you to a huge amount of information and opinions.