Should I wait when he said he's not ready for relationship?

We met on dating app. We talk like a couple, calling each other babe and we click very much and then we argue and I told him let's end it and after awhile I said sorry I want everything to become the same as before we argue. I said a sincere apologies but what I got from him is he said he's not ready for relationship right now. But I think he's talking to other girls. He's two years old younger than me. Right now I miss him so much. I know I get attached too fast.
Should I wait when he said he's not ready for relationship?
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