Am I reading the signals correctly?

There’s a man at work that (I think) has feelings for me, and I really need some help here, to make sure I don’t just think he does.
First of all, he is always really nice to me, asks me how I’ve been, also asks many questions that seem kind of irrelevant (but he doesn’t ever become annoying). He’s the kind of man that everyone has to respect, I get the “doesn’t he make you feel nervous?” question from other people at work. But he’s all so sweet to me, always. He plays with my hair, touches my arms, shoulders, waist, or face and leaves his hand there for a few seconds, so nice… Once, he kissed me on the forehead while holding my face in his hands. And, a couple days ago, I asked him when I’ll see him again and he said “you can see me anytime you want” while again touching my face and looking in my eyes. Then he said we could go out for coffee sometime.
But there’s this whole work thing, if anything ever happens noone should know and everything will eventually become a huge mess. I know.
Tell me, please, what do you think? Is there a chance? Am I crazy to think there is something going on? And if I am right, how should I handle this? I want this, but…. it’s crazy, isn’t it?