Yes. Very low chances, but if there's one country in Europe which would be willing to go as far to stand up to the US, it's France. It's always been fiercely independent - cf. military procurement, it does what it needs for itself and maintains its supply chains; withdrawing from the NATO command structure; it has always had an independent but aligned foreign policy (e.g. not joining the Iraq war); and French leaders have often, and especially the current one, Macron, been very outspoken about being EU and Europe first and how we should distance ourselves from the US and not rely as much on them.

In comparison, Germany, UK, Italy, Spain, Poland, Turkey (biggest European NATO militaries) all have American bases, and extensively use American military hardware.