What do you mean when you ask "on a personal level"? If you mean treating them as friends rather than customers, and interacting on a more intimate level than just a transaction... I think a lot of camgirls do so - to a degree. But many find it easier to keep certain aspects about their life private, for their own sanity, and their own protection.
Since I am a femdom, I don't really communicate with my subs on a personal level. I don't really tell them about my day and I don't ask them about theirs. They are not my friends, and with the relationships I have with my subs, such interaction would be inappropriate and fantasy-ruining. I save the more intimate-personal connections for my friendships with fellow camgirls, and keep things strictly business between me and my pets.
However, if I were to be a camgirl, I would certainly hope that I would connect with others on a personal level. Not giving them my phone number or anything, but getting to know my tippers as more than just a username with tokens and allowing them to see that I am a real girl with many unique qualities. I think that when tippers become friends, the job becomes so much more fun and interesting and a little less like work. So I wish I could do that! But that is just me. Some girls work better operating behind a mask and playing a role, and get uncomfortable with presenting their real self - and that's okay too!
If you mean communicating on a personal level via avenues like a phone number or anything... I wouldn't. I do KIK for subs who have earned the privilege, but they are few. And that's about as personal as I can imagine getting.