Yes you can try but if you do not have support for the broader claims in your text the patent examiner may not allow that claim .
For example, if your description teaches a chair with 4 legs and you want to claim a chair with an unlimited number of legs the patent examiner may limit you to just 4. If you think its possible to have a chair with 8 legs or 10 legs you should at least try to mention that in your text and figures.