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No in one of the stories of Rapunzel she did get pregnant. In that one the prince was also blinded by the evil witch and Rapunzel was sent away with her child to a swamp. The prince and Rapunzel did meet again and have a happy ending though. The main difference between Rapunzel and Sleeping Beauty is that I'm pretty sure Rapunzel had consensual sex that lead to her child.
but sleeping beuty is the one who got pregnant not repunzel