To survive and continue to live relatively healthily beyond all scientific reasoning.
The word has it's origins in Metal Gear Solid 2: Sons of Liberty with regards to a particular character Vamp, who gets shot in the head with a .45ACP round and lives to run on water, get shot lots more, run up walls etc.
Meatsack 1: Joey fell off the Empire State yesterday.
Meatsack 2: ZOMFG NOWAIZ!! That's terrible!
Meatsack 1: It's ok, he's totally fine. Looks like he pulled a vamp.
A person who tells many lies and is known as a Billy bullshitter
Girl - Wow my boyfriend is number 1 in the world on Assassins Creed!
Boy - Don't be silly he's vamping you
Girl - Oh my god I didn't realise my boyfriend was a vamp