Should I add my crush on Facebook even if we don't have mutual friends?

So.. There's this guy who has the same private music teacher as me.

Our teacher put us and a couple of other musicians together to form a sort of "time of a show band"

We practiced together 4 times and he was really nice to me and since I was kind of shy he helped me feel more at my ease... And I have a huge crush on him!

I searched his name on Facebook and found him, but we have no mutual friends ... Should I add him?!

Thanks :D
Updates
+1 y
What if he declines my invitation, would it not be weird next time we see each other for practice in a month or so..? I don't want him to think I'm a stalker!
Updates
+1 y
Please answer my question! Thanks
Should I add my crush on Facebook even if we don't have mutual friends?
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