I think technically, no, but, in reality, if you have a chat with  the nice tall guy with the short beard in the Gunshop beside the old bridge, you can get what you need.

Not sure you need to be a member of a cazadores group, but you do need a mental/medical certificate before you can apply. A lot of the land is under the control of cazadores associations,  but plenty is not, it is coto de caza, [ish] protected hunting lands you [anybody, not a club] pay to shoot, lots of the Parc de Ports foothills seem to be like this.