Yes, I'm planning to double major - or I'll major in German, theatre, or Chinese and take all the med school courses + some extra science courses. If you need something past undergrad, you could double major in one and get more specialization in one field (or both, but I don't think there's any double majoring in grad school or equivalent, so that would be very expensive). EDIT: I missed the specific degrees. I would second Alamo City's suggestion of both a BS and an MSW, as nursing is specialized and has so many courses.
I'm seconding the "talk to a guidance counselor" advice. I'm getting two degrees (chemical engineering and biochemistry) as well as a minor and my academic advisor has been absolutely spectacular. She got me in contact with the right people to make sure I was choosing the right studies for my interests, then helped me schedule my classes most efficiently. Depending on where you're studying, there might be several ways of getting degrees in your desired fields. I'm not super familiar with nursing and social work curricula, but it looks like others have already given some good suggestions for those. Good luck! Studying more than one field can get pretty challenging and frustrating sometimes, but it's also really rewarding and you'll end up with a wider skill set. It'll put you in a really good place when you're looking for a career.
Mmmm, ginger hobbitses sounds delicious, yes they does, precious! Does they serves them with taters, precious? Eh?
Not bragging... Well maybe a little. But it's obvious from this thread that yea it's very possible and more common than you think.
Of course you can. In Australia, most good universities strongly encourage that students take a double degree. It's not much more expensive, and having extra skills can be invaluable in getting a good career. It leaves you more flexibility, and it proves to future employers or further education institutions that you're multi-disciplined and able to do a large variety of work. For example, my brother studies petroleum engineering and undergraduate law, and I'm looking at studying bachelor's degrees in law and languages in 2015, when I go to university. We're both looking at master's in the future, and I want a doctorate eventually. While it's not exactly common, having as many as four or five university degrees at various levels isn't impossible. You have to make sure you can do all aspects of what you study, though. Taking two wildly different degrees at the same time can be rather difficult. Courses which run along similar lines are usually not much more difficult; taking literature and history is not going to be as difficult as doubling in chemistry and classical studies. If you're not so good at one degree, making up for that natural ineptitude by extremely heavy study might drag down your scores in your other discipline.