9 weeks to early to sleep train?

My sons sleep is kind of all over the place. He sleeps around 3-4 hours in the night in his bassinet and then ends up in bed with me due to him wanting to eat every hour after that. I want to get him on a sleeping schedule for his daytime naps and try to get him to sleep more during the night. Is it too early to start this? If not where do I begin? I’m completely against letting him cry, especially at this age so as least crying as possible is preferred. We do swaddle and use a white noise machine but he is getting too big to be swaddled and is starting to roll.