Can blood pressure rebound even higher than it was before medication?

I recently started taking blood pressure medication. It’s been about 4 weeks now.

A few days in a row now my BP has been higher than ever recorded! 170 over 100 was my highest I think. It was about the time my medication was wearing off.

Can the withdrawal off the med be worse than if I had not started medication at all?

I’m taking an ace inhibitor.

Don’t worry I’m not trying to stop taking my medication. This was an observation I noticed taking my blood pressure when I was an hour or so later than the day before taking my medication. I purposely was trying to change my medication time by pushing back an hour or so over a week’s time.