i don't think there have been situations where a camera couldn't produce an ir picture if set to it. the trouble is that some cameras are a lot less sensitive to IR and you would need extremely long exposures (think 4 minutes on a sunny day wide open, iso 200) to get a well exposed picture.
so some cameras are recommended over others for IR, but the answer to your question, with my limited understanding, is "yes".
the question is how long - from experience canon cameras tend to have extremely strong cut-off filters, so they will require extremely long exposures usually as mentioned in last post.
please read the stickies in the Infrared section for detailed instructions on how exactly to do infrared photography without modifying your camera. don't be lazy. :nono: there is a wealth of information on the net as well.
Can do a simple test on how sensitive your camera is to IR as follow:
1. set to Program mode and ISO 100.
2. use LiveView or electronic VF (PNS)
3. point a TV remote control at the lens from within 30cm and press any button on the remote.
4. should see a purplish spot. The brighter it is means the more sensitive it is to IR.