Can my employer see anything personal if I use my own computer? No proprietary software involved

My work laptop is the clunky grey Dell that many of us have which is fine, but I hate carrying it around sometimes. If I create a work profile on my personal Macbook, would my workplace be able to see any of my personal files?

There is zero proprietary software outside of using Okta as a universal sign on for the usual stuff like MS Office.

My employer does not keep tabs on us in any measurable way that I am aware of, not sure they even did anything with my work laptop outside of slap a sticker on the back and there is no policy against using personal devices.