I don't know about the kiosk, but if you manage to get a successful web checkin done and you don't have a printer, you can go back later (say the next day) and go through the web checkin process again. It will recognize that you've already checked in and give you the option to reprint your boarding passes.

I've used this a couple of times - I can login from my laptop (from anywhere) at exactly 24h before departure and do the checkin, then print the boarding passes from work the next day.