Yes It is a punch.
All you need now is a die set, punch holder, bottom punch, stripper plate, shoulder bolts and springs. Oh you will need a punch/stamping press as well. The punch is severly damaged. It should be nice and sharp on the cutting edge.
The little center point is to help cause the slug to pop off the punch. One usually does not want to punch again with the previous stamped waste stuck to the punch.