Memories are notoriously unreliable, pliable, subject to induction etc. You may absolutely have retained memories from that age, but it's just as likely that someone told you and your turned it into a memory.
No these are not things people told me about. I know that. I mean from 3 onwards there is a steady stream of them that I remember clearly in exactly the same way I remember other things. My memories from 2 are very few and far between but they're still not things anyone told me about. They're not things that are significant enough for people to relay to me. I remember things like, my dad pointing out a crane to me out the car window, being confused about someone's name. Someone telling me the word "plumber" has a b in it, which I just found totally wild. Waiting for the toilet at nursery. One time they brought cardboard boxes to nursery and getting to crawl around in them like a cat but being really pissed off with this girl who was terrorising me. Hiding in the attic conversion with my cousin because I was terrified of the hoover. Some kid bullying me for having a temporary tattoo in nursery. My mum took me to the turn of the millenium celebrations when I was 2 and wants me to remember that. She's tried to remind me a lot, I don't remember shit about it. I don't remember anything notable that people would talk about like my first day at school. I remember my 3rds birthday I guess that counts.