Ｉ read that you should not use a 把 construction with 过 as an aspect particle for the verb. But I came across this sentence:
Is this correct ?
It's correct. 过 here denotes the action has happened. The action is 摔坏. The sentence can be parsed as:
[他] [把(手机)摔坏过] [两三次]
In English: he has dropped and crashed his phone a couple of times.