In my limited experience, my guess is no...plants will go into a dormant or semi-dormant state due to the environment.

To induce a growing period, you will need to successfully imitate light and temps of the usual growing season and this will only work with tropicals or tender perennials. These type of plants are used to growing all year round and don't neccesarily need the rest period.

I believe once the temps drop and the amount and instensity of light decreases, hardy plants will 'rest' up in preparation for the upcoming growing season.

if you use tropicals and commit to growing under lights, and warming your greenhouse, then I think it is entirely possible.