In the case of Brick lane, I doubt that. If you don't have social housing, you're paying a lot for your rent, and that's been true for years now. And if you do have social housing, you're not being pushed out.
This idea of characterising 'hipsters' as gentrifiers is wide of the mark, imo. Many whose outward markers are hipsterish - the well-trimmed beard, the expensive haircut, etc - will be young people paying more for a small room in a shared house than someone in social housing pays for a whole flat to themselves. They will be struggling to get by, living on their overdrafts, having half their wages stolen from them by landlords... They will be victims of gentrification, incomers with no chance of social housing, no chance of buying, so stuck with no choice but to be ripped off in private housing.
But they are young, have no dependants, and still have some disposable income left despite being ripped off. And they spend that disposable income in ways that the 40-something and 50-something posters on here don't get.
Hipster = gentrifier is a rotten equation. It's based on little more than prejudice.