Yes, there were times when hunting was not only discouraged, but actively promoted at the state level. Scroll down for English translation.
Of course, there’s a fine print. This poster from the late 1920s, is part of Stalin’s campaign agaitst private enterpeneuship (or what little of it was allowed in the USSR by New Economic Policy). Its main purpose is to encourage hunters to take their furs to state purchasing units rather than private traders. However, this ideological load doesn’t make the facts stated in the poster less real. In fact, everything except the take against private traders is perfectly true today.