Is there a gym near False Creek?

Yes. The False Creek basin is ringed by gyms, with the largest cluster in Olympic Village on the south shore and more across the water in Yaletown. The seawall connects them, so most addresses around the basin are within a twenty-minute walk or a short ride of a coached gym.

This is a direct answer from the CrossFit BC coaching team. Short version first, then the detail and the local context for training in Vancouver. If you want the same answer applied to your own situation, a coach will walk through it with you in person.