of course they don't, if Taliban had any kind of public support they would enter the election. (but they don't believe in elections. they just want the power) but people also don't fully support the current government. the government is weak and corrupt and didn't improve anything there in past 10 years. that also applies to Afghan troops. lots of them simply run away when they hear that Taliban is coming. they probably think it doesn't worth risking our lives for this government.
since we share the same language (well, almost the same) I can read Afghan media (and social media) and it's clear that people are just tired of this endless war. there are lots of people who don't support Taliban but they may prefer Taliban taking the power because at least that means stability. that means you shouldn't be worried about a suicide attack whenever you leave your house. Taliban increased its attacks in past couple of years exactly for that reason, they want to create fear, they killed lots of activists, lots of journalists, lots of famous TV hosts, specially women.
but educated people in general are very worried about Taliban. because they know what's next. (specially for women, everybody knows how Taliban thinks of women) I saw lots of people were happy in social media when Biden won the election. they "thought" he will have a different policy and won't give up to Taliban (but unfortunately they were wrong)