How many victims? At last count it's eight.
Spiders can only count to 8 (on their legs)
Enticed, you are coming; I've laid out the bait.
Spiders weave webs to trap prey/small insects
I hunger for prey and my hunger you'll sate.
And then eat the insects once they're trapped
You're coming, it's true, and for you I will wait.
Sometimes they'll wait quite a while for food to become trapped
You'll take what I offer but this is not wine.
When the insects are trapped, the spider injects them with poison to paralyze them
It's so much more potent—a recipe mine.
It's very strong and internally generated
It's not hypodermic in corpses like thine.
The spider's pincer needle isn't hypodermic
It drops you to slumber in my bed so fine.
The poison puts the insects to sleep in a soft silken web
EDIT: Looking at the hints, we are told
Not to worry about what type of spider it is, but spiders are indeed predatory
The spider acts to kill many insects by itself several different times a day (satisfying the FBI definition given), because generating all of that silk and building a web would make me pretty hungry too
Per @Chowzen's comments below, the Spider (answer) is talking to a Fly (since flies don't have skin, the injection can't be hypodermic = under skin). He relates this riddle to the poem The Spider and the Fly which is a pretty neat piece of literary history! Thanks, @Chowzen!