Can you study abroad with no/little knowledge of the language?

Yes you can - I study French and went to France. Had a few friends there with little or no French speaking ability. They got involved with the Erasmus community (where English is usually the common language) and with local French people who wanted to practice their English. They then took language classes at the university, or locally in town, and their spoken French improved hugely. I suppose it depends on the country you go to (i.e. is English spoken locally much/how difficult is the language to learn?) but yes, it certainly is possible :)

Absolutely! I went to Spain with very little Spanish knowledge and managed fine. I was in a very rural area, where almost none of the locals spoke English. A bit daunting at first, but works wonders for improving your language skills!

Also, a lot of foreign universities now teach at least parts (if not all) of a course in English.

Definitely! I am doing a placement in Amsterdam and speak little Dutch. I have found that everyone here speaks fluent English and even if you attempt to communicate with them in Dutch, they will answer in English!

Very helpful if you don't know much of the language (like me) but also makes it hard to learn as they want to practise their English.