Well, hand pollination is fairly straight forward. You have to brush the complex center part of the flower against the center of another flower. If you are really good, you brush the male part with pollen against the female part (usually a larger structure in the exact center). You should be able to use the pollen from one flower to pollinate several others, you could use a fine soft brush to transfer the pollen more exactly.
Some plants will not self-pollinate, and must have a 2nd plant for pollination - Passion flower doesn't seem to be one of these. Some plant are poor self-pollinators, and do better with the pollen from another plant. Passion flower seems to fall into this second group.
I found a great photo on the internet (I did an image search for "passiflora pollen flower"):
So, get the pollen from the anther to the top of the style - on a different flower would be better, & on a different plant would be best. Don't use an old wilting flower, the pollen might not be viable anymore. Also, One book I checked had a caution that unripe fruit and leaves are poisonous.