In short: yes, it is absolutely possible for a French company to have multiple activities! You must make sure that the company follows certain rules, though.

If you’ve got a business, it’s likely that at some point, you will think of expanding your company by beginning a new activity.
In France, that is entirely possible! There are two ways to do it: you can either change your corporate object or create a branch.

Chances are if you’ve got a company, you’ve already asked yourself this question, if only just by curiosity. Well, turns out, the worth of your company can determine quite a few things in France, especially when it comes to transferring your company; so it’s worth paying attention to it.