Can a fmri give similar information as a spect scan of the brain?

Yes: Yes, an fmri is more precise than a spect. Fmri is used more frequently to assess brain function, and is superior in it's specificity. That's why researchers use it more than a spect.

Yes: And with better anatomic resolution and no radiation. Less available and more expensive though.

Depends...: It depends on what you are looking for. There are several different tracers which can be used for brain spect.