Can a cocky flirty outgoing guy act shy around a girl?

psawyer
Yeah a guy who is cocky flirting outgoing around girls but with me he acts more reserve quite and shy. He does talk and flirt With me but only if we are alone not when his Friends are around. Or does he act different around me because he does not want me to think he likes me since I have flirted with him I am not too aggressive when I flirt since I am shy.. He did approach me first and began to flirt. When I see him with other girls he will joke and tease with them but with me he is not loud more quieter does not joke and more serious/sincere with me. I catch him starring at me from across the room . If I am talking to another guy or a guy friend will hug me he will look sad and depressed. At me. Number occasions he has smile/nod not say a word, stares deep into my eyes. He seems to be nervous, intimidate afraid of me sometimes. It is just hard to tell what he wants from his personality.
Can a cocky flirty outgoing guy act shy around a girl?
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