No, a search warrant isn't intended to [directly] apprehend criminals, though an arrest warrant may come later to do that.

But one could reasonably assume that a location that is known to be used for criminal activity and that likely has evidence of such criminal activity likely also has people commiting crimes.

When police raid a grow-op they often may only have a search warrant but they end up making several arrests because they find people actively commiting crimes when they execute the warrant.