Is shrimp renewable

Shrimp are living creatures, and therefore they reproduce themselves so in that sense they are renewable.

However if you are referring to populations of shrimp that are being harvested by man for food then if man takes too many of them or harvests them in a bad year then man can destroy the population and the lives of other animals that feed on shrimp.

So while shrimp are renewable, mankind must learn to manage the resource properly or the resource could be lost (it has happened to the herring fishery in the North Sea and there are many other examples of over exploitation).