Is my(25F) crush(31M) is jealous??

I(25F) met this guy S(31M) during my internship. He is a serious nurse. At first we really didn't know each other. Every time I talked to others he interfered and ask what are we talking about. Once he crossed limit,and told other guy(R) not to talk to me like this further. Literally, guys and girls do have chitchat while working. He made it big deal. Then I was chatting with R and simply asked him to visit my home, S was there, he asked me,"are you inviting all to your home?" ...I was like tf.. 🙂

We had some chat , and at some point I told him i liked him platonically.

Then after two months, I had to visit hospital. During my internship, I only wore kurti-dupatta. But that day , I wore pretty top with jeans , high heal, nail polish. He repeatedly asked me if I only went there , if I went from home. He even told me "go straight home, don't go anywhere else" infront of everyone. I was pretty embarrassed. Even after months, he called me and again asked me that day if I only went to visit him . I confessed that i like him . He asked me a lot of questions about my education, relationship, why do I like him..then after the call he went cold on chat. I kept sending him meme cuz deep down i know he enjoys it hahah. But once I got frustrated about him being cold , and I said ," i don't like you anymore, i liked you cuz you reminded me of my ex,he was 8 years older than me ,very similar to you, sorry ..bye" ..He replied, "you didn't tell me you had an ex" ... Then again one day we were talking, i usually answer him quickly but as I said i was losing interest so i was ignoring him, he double texted,"are you busy with your boyfriend?" ...lool..even though I've crush on him, i never double texted him.

My question is , is he kind of jealous ??