Sure, it's possible.
I wrote a simple query, which you can find on Data StackExchange here.
It takes in an input of Question ID, and returns a list of User ID and User names who favourited that particular question.
E.g. Question ID 8021 is Is there a (La)TeX distribution running on iPad?
Running the query on this gives 11 favourites:
It's easy to verify ...
The way Stack Exchange handles bookmarks is through something called favourites. It's the star just below the question voting buttons:
Once a question is starred, you'll find it in your favourite's tab (with the URL //<site>/users/<userid>?tab=favorites). Updates to favourites are indicated by a boxed number next to the tab when viewing your ...
The idea of stackexchange is probably to use "favourites" for this, which Johannes_B mentioned in his comment. However I consider them pretty useless (no notification, many false positives...).
Instead I use RSS feeds to keep track of interesting question. At the bottom of every question there is a link "question feed", which can be used to subscribe to ...