Potassium permanganate is generally stored as powder, or rather crystals, and not as a liquid. Like that it's relatively easy to store, but you need to be sure nothing else will leak into it.

Storing glycerine without leakage is harder. Therefore it needs to be kept well separate to the potassium permanganate. You don't want them both in the same pocket in containers that might be compromised if you somehow fall on them, for example. Not that matches are entirely safe, either, or a BIC, but these chemicals scare me more.

They aren't not a great way to start a fire anyway, especially if it is cold.