[lopmotr]

Not at all. Colonization used violence to take over people's land and enforce the incoming people's laws on the existing population. Peacefully buying it with no duress is a perfectly acceptable kind of colonization, but that's not the word we normally use. We call that "immigration", or in this case, internal migration.

[bsanr]

It's naive to think that violence and laws that are onerous or disadvantageous to current residents are not employed in the process of gentrification. Suppose, for example, that you close a grocery store that serves thousands of lower-income, often low-mobility, residents, in preparation for building luxury apartments. Or you increase "broken windows" arrests in such a away that existing residents are disproportionately affected. How is that not duress? You have introduced conditions for continued residence that threaten life, comfort, and freedom.

Colonization is a fine word for it.