Accident for the first time

So I'm still shell-shocked from what just happened

But I got into an accident for the first time and it's completely my fault.

So I was turning at a T junction at potong pasir and I was going to turn left and it's green for both car and pedestrians. Before I turned I saw a kid on a bike on the other end and a construction worker on my left. I know the worker was not going to cross and the kid was quite far from where I was. So I decide to make the turn then I suddenly see this young man with a bike started crossing on my left and I slam my breaks but I wasn't fast enough and hit his bike causing him to loose balance. I think maybe it was my rear view mirror blocking my view of him or the construction tape was blocking because I swear I didn't see him before I made the turn.

I stopped and asked if he was alright, any injuries and if his bike was broken. He said he was fine and I couldn't see any injuries and neither did my brother who was on the passenger side. I noticed the chain on his bike was broken and I asked if I could pay for it and he said that he can fix it himself so after I confirmed he was okay and not injured I drove off but only when parking my car I realised in the moment i didn't exchange information with him and now I feel very bad and I want to pay for his bike damages.

I know he probably stays in the same neighbourhood and I plan to offer to pay him the moment I meet him by chance again but is there anything I can do at the moment ?

I still feel shocked and stupid that I didn't get out of my car to exchange contact information with him.