i don’t think so in the current system. seems like an ask for new download functionality might belong here: https://forum.inaturalist.org/t/data-users-what-are-your-use-cases-and-requests-for-exporting-data/2972.
it is possible to use the API to get a list of people who have faved a given observation. you could just count that list to get what you’re looking for, assuming you are willing and able to tinker with the API…