No, not without an adapter. I'm no expert in the whole adapter game, but I believe there is an FD-to-EF adapter that's rather rare and expensive. Unless you have a ton of FD glass laying around, I'm not sure there's really a point. The neat thing about using adapters (apart from the fact that you just can with the EF mount) is the ability (1) to use amazing Leica and Zeiss glass and (2) to use inexpensive older glass that's still really good, like Olympus and Pentax.
Do a search, you'll find a bunch of threads. In a nutshell, you need an adaptor, and unless to have some really good FD lenses and can afford a Canon Adaptor it is not worth it. The cheaper one on ebay are not worth your time.
1. Genuine Canon convertor: it only works with lenses longer than 200mm, is a 1.26x converter and you lose 2/3 of a stop, but you maintain infinity focus. IQ seems to be hit or miss; some people think it sucks, others think there is almost no IQ loss. Upwards of $800. The last one in immaculate condition sold on ebay for around $1200.
2. Cheap Hama convertor with optics: works for slightly more lenses, but not that many more lenses, you lost I think 1 stop, and its a 1.3x converter, plus crappy IQ. You keep infinity focus. Around $100.
3. Cheap converter without optics: basically, an extension tube with an FD mount on one end and an EF mount on the other. No IQ loss and you can use it on any lens, but you no longer can focus to infinity. Some people use bellows and dedicated bellows lenses with this convertor and get great results, since they wouldn't have infinity focus anyways. Around $20.
4. Get the lens you're thinking of converted to Nikon mount: no IQ loss at all, no loss of light either, and you maintain infinity focus. Any lens can be converted, the wider the lens, the more it will cost, as more modification is required. There was a guy on photo.net who successfully converted a few lenses (like the old 50/1.2L and a 35) for around $100, but he got really sick and had to stop. SK Grimes and some other compaines can do this. But the lens can never be mounted on an FD camera again, and this option usually seems to run between $300 and $500. ...Show more →
To sum it up, its not worth it, unless you have a lens that isn't duplicated in EF mount (like the 150-500/2.6), or you already have a amazing lens that one of these options would be cheaper than getting a similar lens in EF mount. (Like say, you somehow got a 400/2.8 from your brother for free, so any option would be cheaper than getting a EF mount 400/2.8)
I have the FD to EOS adapter from Adorama. The adapter has a glass element inside which is needed in order to focus to infinity. The element also acts as a weak 1.2x (approx) teleconverter and causes 1-stop of light loss. I've used an old FD 50mm 1.4 from a hand-me-down AE-1 and honestly, the results have not been great, probably because of the extra element, because pics that I take with the AE-1 and the 50mm 1.4 are not bad (but nowhere close to 30D and EF 50mm 1.4).
I've also tried the lens after removing the glass elements (2 pieces) from the adapter. Not only is the lens unable to achieve inifinity focus, it's practically useless since it acts like a lens with an extension tube on it. It's only able to focus on a very small range of distances.
From what I understand now, there is no way to get an element-less adapter and infinity focus together because the FD lens would need to mounted inside the EOS body, but then the mirror wouldn't be able to flip up (unless you do some serious surgery to your lens mount)
It's a bit ironic that "almost" every other non-Canon lens can be adapted well to EOS bodies but their own FD just doesn't work. I got 2 hand-me-down Leica R lenses that work very well on my 30D with a focus-confirm adapter that I picked up on fleaBay. I'm also considering picking up 1 or 2 Contax Zeiss lenses as well.
Try the Alternative Forum if you're interested in adapting non-EOS lenses to EOS bodies. I've learned so much from the veterans there.