It is possible.
But there's some difficulty in the sense that there aren't very
many openly advertised volunteer (or non-volunteer) positions in
Laos. However your best bet is to try to join an NGO that has ongoing
projects in Laos.
Keep in mind
though that many NGOs prefer to hire only a minimal amount of expats
and then hire from within the country they are working in because
it is often cheaper, they speak the local language and they are
familiar with the customs and environment (not to mention they also
want to help educate the local populace by employing and giving
them experience.)
Additionally
there are strict rules, for example, UNV (UN Volunteers) require
a minimum age of 25. And most organizations require expertise in
a given field to be considered for employment. Keep trying. We've
found some organizations that are willing to hire and don't necessarily
require any major requirements - but this is rare.
Ultimately if
you keep at it and keep applying to NGOs that are working in Laos
one of them will eventually give you a call or return your e-mail.
Some people
say it is a lot easier to try to find a position in any new place
if you're actually there. Perhaps if you ever visit Laos you can
take that opportunity to try to get a volunteer position. Lastly,
if you are not able to find a volunteer position it probably wouldn't
hurt to donate money or supplies to an NGO (though I agree that
isn't as hands-on as being there and doing something).