Oh yeah - they definitely do. It's like the moment you start to move away, they are all up in it.
I had a (literally) crazy exBF. About 9 months after he and our relationship broke up, I went to visit a guy I had dated a bit before. (Using "dated" loosely, he was a Love Avoidant who told me up front he "didn't DO relationships" so it was more of an occasional weekend booty call with interesting intellectual conversation on the side.)
Anyway, I went to visit this guy friend, who lived about 90 miles away in an adjacent city. And my crazy ex was blowing up my phone almost the whole time I was there. Happened the next time I went too. He could not possibly have known where I was, and my car wasn't visible in the underground parking garage, plus it's all part of the extended LA basin, not like he would have seen me coming or going. And no, he didn't install a tracker on my phone or car. Just sheer instinct.
