There has never been a prohibition against hunting for laymen. However, there is quite a controversial history concerning clerical hunting. The Council of Trent, for example, made the formal distinction between clamorous (clamorosa) hunting and quiet (quieta) hunting. (Session XXIV, 12). "Clamorous hunting" is forbidden to priests. However, "quiet hunting" is allowed.
I can't find an image online, but in the 2003 Luther movie, at one point they show Pope Leo and his party involved in "clamourous hunting", chasing a bore down with dogs and men on horseback with javalins.
I'm rather sympathetic to that, actually.
As C.S. Lewis said, "Inasmuch as ye have done this unto one of these my bores, so have ye done it unto me."