Of course film will work - better than paper: It's designed for the job. Paper has a "film speed" of about 10, so your exposures will be much shorter with film. It's also panchromatic (usually), which is better.
The main advantages of paper are that it's cheaper, and easier to handle - being able to load and dev under safelight is pretty essential if you're 5 years old, taking pictures with a cardboard box. If you're used to handling film, and have a supply available, then go for it.