It seems obvious that the HK administration is simply drawing out time and hoping the daily troubles the demonstrators are creating in time will kill their cause.
If you're including population not under the sphere of influence of the Chinese Communist Party, I'd say most likely yes.
If not, of course there isn't broad support in the sense that Hong Kong is a drop in the bucket compared to the rest of the Mainland.
I hate to say it, but I'm expecting that an inevitable Tiananmen 2.0 is in the works; and I have seen nothing to convince me that pushed to the wall, the Chinese Communist party won't write off an entire city to restore "Peace"; excepting the continued existence of Taiwan. That though, in no small manner being a diplomatic stalemate with the rest of the world however.
Hong Kong has no such asset.
I think the parallel are the occupy protests in HK around 2014. In the beginning they had broad support but after about half a year that public support was gone and the police could clear remaining "occupiers".
As an outsider the issues of extradition seems like a symptom of something deeper: Hong Kong's role as a part of China. Perhaps frustration over economic conditions: Obscene rent to wage ratios. Not the same growth as in nearby mainland.