Are gourd leaves edible?
At least some cucurbit leaves are edible, and here. 

The genus isn't known for producing toxins, but there may be a few wild cards in there.
Proceed with caution, if you proceed at all.
I'll stick with Habanero, Bell, and Jalapeno pepper leaves cooked in butter and lemon juice.

There are books with titles like "Edible Plants of the Tropics" or perhaps even "Edible Plants of the Philippines", that can probably tell you about your particular gourd, but you'll probably have to go to a college botanical library to find them.

Later, while cleaning out old files:
The book I was thinking of is called Edible Leaves of the Tropics by Martin, Ruberte and Metzner.
The third edition came out in 1998, so if your library doesn't have it, there are now lots of places to buy it.