Got a job offer

I managed to get a job offer today and accepted it out of glee. I asked for a specific pay and got what I asked for. The pay isnt great. But it's way better than what i get now. By question is. Is it a little late to revise the pay? Or is it too late? Its okay if it's too late. I had the interview today and got an offer 2 hours after. I was thinking maybe $2 more, it was in my range but I decided to take the median because it's been a struggle trying to get a higher salary, so I lowered my expectations a bit. I'm asking because when I gave the range, they said it's well within their budget. I just dont want them to retract the offer

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