Do guys often play hard to get as girls do?

I heard of girls playing hard to get and guys chasing… How about guys playing hard to get? In what case would this be the case? There’s a guy I went on a date with and he told me he is dating many girls and having fun. He texts me every day but replies late, when he asks to meet he says “I have no plans…” with the tone of as if I am his last choice. I’m going to talk to him about what he really wants when we meet again, but besides that is it possible that he is playing hard to get?

Thanks!