I've never heard "vamp up." I've heard "ramp up."
I've also heard "amp up." Rock musicians call their amplifiers "amps" and I think the literal meaning of "amp up" is "make the sound louder by turning up the amplifier." It means make it more intense, louder, stronger, more vibrant.
"How to Amp Up Your Hair Color This Spring"
"Democrats to amp up calls for Medicaid expansion"
"Amp up chicken wings, drinks with homemade flavored salts"