I would guess so. Seems to be tied to your account (name/number). You can add multiple Ford vehicles.
I signed up a few weeks ago. I recently got my GMC an oil change with the Ford QuickLane service center. I didn’t even think about Ford points till I got an app message that I had received some points for the oil change. A whopping 335 points with a conversion value @ $0.005 value! That’s $1.68 in accessories. Watch out! ?