I think : it's possible but it seems complicated for a simple sling.
After your interesting search, the problem becomes :
- is there a throwing tecnic to take advantage of the elasticity ?
- big slingstones or very short sling ?
- hair of others animals ?
I have searched on Internet for others animals.
Corsica is an island in France and in the local language, a rope (tyed and flat) in goat hair is : funa !!!
Fona is a sling in balearic island !!!
Today, I think Sae Tae is probably hair of goats.