As soon as that morning pill neutralizes all possible venereal infections, fills my tax form and removes hang-over (and maybe cures cancer), sure, why not.
If it just prevents pregnancy, providing such an (un)solution for free would be one of the worst ideas I've ever heard. If people were to start using just that (and knowing how people are usually fundamentally lazy, some would) it could discourage the use of condoms, which would lead to increase in STD infection rates.
Free condoms would be almost infinitely better solution. Besides, if you don't have a canteen in a jungle, you can use them instead. They can hold over a litre of water.