intrigued by an older guy

Hello, I know the situation might seem a little weird, but I wanted an opinion because for some reason can't stop thinking about it
I'm 24 years old, last year I graduated law school, and I've never been attracted to older guys-the maxmum age gap I've had in a relationship is 3-4 years. But recently, maybe because I'm bored and spent much more time on SN during quarantine or something, but I've started to notice a guy much older than me( one of his sons is in university, if that says something ) , he's a very famous lawyer in my (small) country, he participates actively in actions against the government, appears a lot on TV interviews and I started following him on facebook and his blog. At first, I read his publications because they're very intelligent and I appreciate people who express their opinion without fear.But lately I've started to notice his looks also because he looks handsome for his age. So I got to thinking that I wouldreally like to meet him in person, even just to talk ,because there's a lot I could learn especially since we work in the same field.. I wouldn't mind doing something physical (I mentioned he's handsome ) but then again, realistically speaking , normal relationship is out of the table for a lot of reasons (he's divorced, not married ,but still) .
So I was wondering -do you think I should maybe send a message, just to express that I'm impressed with his work etc and see how it goes and whether he would be even slightly interested in meeting in person? Or even this idea is stupid and I should just try to concentrate on other things ? I would appreciate an honest opinion.
Best regards