It's been said that "Anything is possible, it's all just 1's and 0's"

You'd have to have some serious chops though...  there's no native browser support for live video capture that I'm aware of so you'd likely have to work that out first and then plug that into a web application.  would be a very daunting project.  Look at google hangout. That's basically what you're wanting but they require some local software to be installed I think I remember.  

Howard - 

the original poster mentioned using the a desktop/laptop camera so I assumed video rather then just grabbing a picture.  Maybe I'm wrong.  Does teamstudio do something with Videos?

For pictures on mobile - that capability is now built into IOS.  So any Xpages app can get a picture natively.  Really really nice!!

This is a capability for html5 browsers that support it.  Check this link out.

http://www.html5rocks.com/en/tutorials/getusermedia/intro/

As far as I know Chrome is the only browser that supports it.  I know google has done a lot with developing it.