Sexless marriage for almost two years

It's been 1 year and 9 months since I got married. My husband and I never engaged in that act at all. He is super sweet, a good friend of mine, doesn't speak rudely to me, helps me in stuff and we are like good buddies and I love him. He is more like my boy best friend than my husband. Forget about sex, he doesn't even hug me or hold hands or do other couple things. I confronted him multiple times about it and his exact lines are "We got time, then why rush it?". Although, I confronted him but that's actually not strong enough if I am being honest. I am totally embarrassed to ask for sex or pressurise him. I respect if he needs space but isn't almost two years enough for it. It's not like I am desperate for it. It's just him not even holding hands kinda seems odd to me. Moreover, my mom keeps pestering me about pregnancy and I am super enraged about the pressure I am getting from all sides. Like how am I supposed to get pregnant by myself? He doesn't seem interested in even holding hands and what am I supposed to do? Force him? I tried to hold his hands or hug him but I could literally feel that he isn't interested although he doesn't show it upfront. And I didn't tell her yet. She thinks I atleast lost my virginity and just not planning for baby yet. I never told her because I just don't want my husband to face any issue with regard to this. This is something personal between two of us and I am trying my best not to involve anyone. I am even ready to wait for another year or two but totally with a valid reason. Why would he get married if he doesn't want to do it? Also, It's not like I am ugly. I am conventionally beautiful and I did get my own fair share of attention all through my school and college days. After 6 months of enduring it, I did something which I am not proud of. I checked his phone without him knowing it. I am not sure if that's the right act but I don't know what else to do. I kinda doubt if he has some affair and was perhaps forced to marry me and thus acting like this. But I found nothing in there. Absolutely nothing. No social media apps. Just WhatsApp with no doubtful messages. Now I am starting to doubt if he is gay or something. I am not sure I am thinking too much. But I don't think any husband would even not hold hands or perhaps gently hug his wife. I don't even want sex at this point. At least show some romantic gestures which would remind me that I am married and not staying with a boy roommate. Is that too much to ask for? And, I am 23 and he is 28.