I was wondering if there will be possibility to sort questions list in stackoverflow by answers number, votes number, date, or anything else ?
Is there any possibility to specify ASC or DESC just by clicking ?
You already can do this.
There is no way to sort by answer count (that seems pointless) but you can search "answers:n" and get questions with n or more answers.
Other helpful sorting schemes:
You can sort by date (newest), and by votes already, just click on the big handy tabs.
There is not much use for sorting by answer count, I don't think. You cannot reverse the sort; just click through to the last page of the batch instead, most visitors would not need to reverse the sort. What use is the most downvoted question, really?