I have lost a crown but still have some tooth left, can i get a new crown?

Most Likely.: Oftentimes there is enough left to build a new crown. There is a white crown option for any tooth. Depending on the size of the previous cavity and now considering how much more tooth has been lost, there is a high chance you may also need a root canal. I've restored many teeth like this. Most of the time with a very nice result. I would take a close up photo of it and discuss with you the option.

Probably: There is no way to tell for sure unless you go see your dentist.

Maybe.: Let your dentist have a look: sooner is better. He/she will probably want an x-ray and a quick look should tell you whether the tooth can be saved, and if it's a good idea depending on the tooth, other teeth, the health of your gums etc. Sometimes you can even put the original crown back on.

Yes: If, by lost, you mean that it fell out than it is possible that it can simply be recemented onto the prepared tooth. If lost means that it is gone and you cannot find it, then it is indeed possible to have it remade. Both options require that the remaining tooth structure is sound and abundant enough to work with. Check with your dentist for an evaluation.

Depends: If there is enough healthy tooth structure left: yes.