Bwaaa haaa haaa. Of course they can track your movements. If you carry a cell phone powered on - you can be tracked. If your vehicle comes with OnStar or some similar service you are being tracked. If your vehicle has on board GPS - even if you don't use it, don't pay for the service, whatever, you can be tracked. If you drive a Tesla they proudly tell you that your car is talking back to mother Tesla virtually all the time. If you have EzPass or other RFID enabled tolling you can be tracked. In most major cities there are enough traffic cams to follow your movements if someone cared enough to do so.
Face it, in today's "surveillance society" unless you are actively working at it - with some decent tech help and knowledge - you can be tracked.
You can be tracked if your cell phone is off as long as the battery is in it. I have kept my phone off for weeks at a time, and someone told me to go to a certain site and look at the tracking that Gov ogle does. It tracked me as surely as if I had told it to, or used Drive.