Yes you can, i used to use a very small kids nail clipper, and you just want to take off the very last black bit, not the quick (see through bit underneath). Its always a good idea to get the vet to show you the first time if your not feeling too confident about it.
Just on a side not, slate tiles are very good for kepping the nails trimmed, since i swapped over a yr ago i havent had to do it once!