Based on the research done by Vsauce 3 not, but it is an interesting exercise of thought. Godzilla is about 108 meters tall, by far the largest monster ever envisioned, and weighs 90 000 tons. Could Godzilla exist?
It would need 250 million calories a day to live and it would need to eat about 1950 humans a day to cover the energy needs. Godzilla could not exist because gravity would kill it under its own weight. So, yeah, Godzilla has its own place only: in the movies.