Can an MDM computer be taken over again?

We are provided with laptops (MacBooks) in our company, but the laptops are provided by default with MDM JAMF maintenance. It is possible to ask that to be removed, and sometimes requests such as that are granted. I am not sure mine will, but I am in the process. I read about it, and I am trying to understand - would it be possible for the admins, once they let me remove MDM/etc. - to reinstall it again without my permission by sending some signal to the computer? Meaning, is there something persistent that cannot be changed once MDM is installed? I understand they can force to be again by default on MDM if you choose to wipe the computer, but that's not my intention. The reason I ask is that we are allowed to use the laptops for some personal information, and I would feel irked if I knew the company's admin can reinstall an MDM profile without my permission or physical access to the laptop - especially I would feel uncomfortable with logging in to my Apple ID (I don't have a "company" Apple ID).