If no court action is pending, probably not.
That doesn't mean she won't howl about it when the divorce proceedings commence.
If you decide to have the car snatched, I suggest filing for divorce within 24-72 hours after the snatch.
You're making the payments, paying insurance, licensing, already moved, so it makes sense.
That won't stop her from saying taking the car caused inconvenience and harmed your children.
Be ready to possibly explain.
Your lawyer will assist.
One reason is you need the car to commute to work.