Wondering if i can bypass this pulley?

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I am running a electric fan..so i dont see that the smaller wrap on water pump should be ok?
You SHOULD be okay on belt wrap on the water pump pulley, although depending what you get for a replacement belt you may have to re-clock the tensioner to maintain adequate belt tension.
As a side note, running an electric fan has very little to nothing to do with belt wrap- if the belt is slipping, you're not circulating coolant. Period. Electric fan or not.