We generally suggest not cutting off more than 1/3 of the total plants growth as it can stress the plant out. Start small :)
You should be able to trim it, however, care needs to be taken to use a sharp knife, and disinfect after each cut. Also, don't trim too much at a time, as this will stress the plant. Begonias require filtered sunlight, as they are an understory plant. Could be why it's leggy, too much sun.
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