Well yes and No..
Yes meat eating animals only started eating meat after sin entered the world.. But God did not create a new set of meat eating animals after Eden was closed down.. Tigers , wolves and other now meat eating animals ate plants before.. When the creation is eventually reconciled to God these meat eating animals will return to eating plants and will no longer eat meat..
(Isaiah 11:6-9) " {6} The wolf also shall dwell with the lamb, and the leopard shall lie down with the kid; and the calf and the young lion and the fatling together; and a little child shall lead them. {7} And the cow and the bear shall feed; their young ones shall lie down together: and the lion shall eat straw like the ox. {8} And the sucking child shall play on the hole of the asp, and the weaned child shall put his hand on the cockatrice’ den. {9} They shall not hurt nor destroy in all my holy mountain: for the earth shall be full of the knowledge of the LORD, as the waters cover the sea."
