Among the cables obtained by WikiLeaks are several that point to the State Department's directive to embassy staff to collect human intelligence on foreign diplomats, including biometric information. Without knowing specifically what was asked for (I have not read the cables in question) this touches on the fear of biometric collection being done covertly potentially compromising any information.
It is important to know that many biometrics are already exposed: face, iris, DNA, fingerprints, and voice. Vein scanning and retina, which operate on information found on the inside of the body are not casually exposed.
Obviously the easiest biometric for diplomats to take would be face via simple camera snapshot. Think of all the pictures diplomats pose for. If some of the camera used were near-infrared they could also try to capture iris. Iris works best in the near infrared, which some cameras can do, but there is information that can be gleaned from the visible spectrum as well.
It would be harder but not impossible to collect fingerprint or DNA data. This type of collection would most likely be forensic in nature; capturing whatever the person of interest left behind. For example, if they used a glass to drink water from it could be dusted for fingerprints.
Individuals may wonder if similar types biometric pilfering could be used against them if a national ID was enacted. It would be highly doubtful. First the enrollment systems would capture much higher quality information from cooperative subjects than can be gleaned at a covert manner. This higher quality allows a greater threshold to be applied when distinguishing individuals. Additionally any national identity would most likely use a key binding scenario to enmesh a cryptokey with the biometric at time of enrollment. This would prevent forgeries from being used to spoof systems. These preventions along with various liveness tests, and PIN backup (to provide 3 levels of assurance) could be used to make systems secure.

