Does no contact work?

My boyfriend and I broke up because he has a lot of family and work related pressure in his life right now and we weren't spending as much time together so I accused him of cheating. He got mad and said that wasn't it at all and he already had enough drama and didn't need relationship drama too. Will no contact work and do I really need to do it for a full month? I feel more comfortable doing just 3 weeks bc I'm afraid he'll meet another girl and maybe not be as apt to get back with me. He does party and entertain a lot for work so he's definitely in the situation to meet new people frequently. Do you think he will have cooled off or miss me after 3 weeks? We've dated 9 months and used to talk everyday.
Does no contact work?
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