Q.Can I grow black mission fig in container?
Greater Vancouver – Can I grow Black Mission fig in a container?

According to things I've read, almost any variety of fig does well in containers, although the larger types, such as black mission, will probably need more pruning. Here's a nice article about containerized fig: http://ucanr.edu/sites/MarinMG/Marin_Master_Gardener_Independent_Journal_Articles/?uid=159&ds=275
and here's a list of articles to cover almost any thing that comes up: https://www.gardeningknowhow.com/edible/fruits/figs/