A handy reference guide for you

https://sh.itjust.works/post/58073958

will let you pet it without getting agitated

Wait, seriously?!

One landed on the hand of my sister and wasn’t bothered by her petting it.
But this is highly anecdotal.
If you ever have chilly spring/fall mornings, you can often find one perched on a flower “sleeping in”. (Really their metabolisms just slow way down in the cold, and they’re waiting for the sun to hit.) You can get some tiny pets in for sure. be gentle though, they’re just little guys
Don’t ever “catch” a bumblebee between your hands. It will sting/bite (idk what they do, someone said they bite but I’m not sure) and that hurts like hell! Did that one time as a kid thinking they can’t do anything and regretted it really quickly!