No, they cannot survive without plants because carnivore eats the animals which is normally a herbivore and the herbivores eat plant.The animals which lion/wolf/tiger etc eats are mostly herbivores so herbivores would die if plants are not available and lion would not get food .
Lion like all other animals requires Oxygen for survival .The present stock of Oxygen would not lost long in absence of plants.Therefore plants are a must for survival of even the carnivores.
