Not quite the same. The US has a method for territories to become a State, although it requires the US Congress to agree, and we all know how that shit show is currently.

Puerto Rico in particular has had 6 referendums on whether to petition to become a State, keep the status quo or independence. While the US Congress has sometimes stood in the way a bit (largely because of the two sided political bullshit we all deal with), the PR referendums historically have been very split, often due to confusing language.

It’s not as simple as the US outright preventing these territories from even looking at making their own decisions like with the American Colonies and British Empire.