Can I message him?

I went on 3 dates with this guy. He seems to be a terrible communicator in between dates but in person is amazing. He asks me lots of questions and seems genuinely interested in my life. Last date he asked what I was looking for. I told him a relationship and convo got cut short but he didn’t say he was not looking for that. He also mentioned his friends said he should invite me out with them but he wasn’t sure if I would want to go. We held hands and had extremely passionate intimacy and cuddling.

He is 27 and I am 36 and have a child. My concern is our dates have been like 3 weeks apart and he won’t even text me for like 2 weeks. It feels like he doesn’t like me in between dates but then dates he is opposite. I have never initiated any messages or dates. Last message was right after last date a week and a half ago. He just stopped talking mid convo. Do I wait for him to initiate or can I message him and/or ask to get drinks?
Can I message him?
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