No, it would do exactly the opposite. Short term limits mean you perpetually have a revolving door of inexperienced and naive legislators who are much more prone to a) manipulation by experienced and cut-throat lobbyists and b) grabbing everything they can for their district with no regard for long-term sustainability, because they'll be gone before they can see any consequences.
I'm not picking on you in particular because I see this all over the place, but it really makes me crazy when people default to their gut emotions and desire to punish, and so come up with non-solutions like "shorter term limits!" which actually make the problem so much worse.