As I was early in the game, one of the first creatures I saw by the Swamp was this Sluggish Creature. I had to crouch and use my new bola. I swung it at the Achatina and it did not look harmed. I then had to trap it, until a Sarco came up and ate me and my Slug. Later, I had found another one, this time with no Sarcos nearby, and found that they don't eat meat. I tried to tame it with Cakes, because after taming an Ovis I knew a few creatures ate them, and claimed it! Be wary, these creatures are some trouble to handle.
Starve taming doesn't work too well for 2 reasons
1. It's food bar may be small, so it may start losing health before it even gets close to tame time.
2. The cool down gap for eating cake, means that you need to factor in the eating time.
Hope this helps