It is mathematically possible when voters are pooled into districts, you create super districts to concentrate the opposition, then create local majorities in the remaining districts.
This is the essence of gerrymandering and why only ~10% of US house races are competitive. It's related to why there are only seven swing states in the US for our only national election, which should be changed to a national popular vote.
A voting minority cannot by itself gain power in a democratic election.
A population minority may vote with, against, or mixed versus the eventual majority. It is not the same as active participation in voting.