There's nothing that exactly parallels the European vampire, but there are some entities that come close. I'll just mention the three I feel are most similar to vampires here.
Raven Mockers are undying, old Cherokee who use wicked medicine to extend their life. They prey upon the weak and stealthily remove their victim's heart in their sleep. For every bit of life the steal, they add to their own.
Skinwalkers are Navajo who have committed a great crime, typically the murder of a close relative, in order to gain evil supernatural powers. The most common power of the skinwalkers is the ability to shapeshift into animal forms (hence the name), almost always a creature of the night, because skinwalkers shun sunlight. They have the power to manipulate the minds of their victims and are general immune to normal weaponry, often requiring ritually prepared weapons to be defeated.
Tlahuelpuchi are Nahua born with a curse that lies dormant until puberty and forces them to feed on blood once a month in order to survive, with infants being their preferred victims. When they go out at night to feed, they take the form of a bird (vulture or turkey).
The Northern Paiutes of the Great basin have a legend of the Pa'ungis or water baby ("pa" is the same word one finds in the name "Paiute" which means "water Ute"). This is a demonic creature that inhabits water, waiting for mothers to leave their babies near the shore while going off to search for food. The Pa'ungis will then creep out of the water, devour the baby, and take its form in the cradleboard. When the mother returns to suckle her baby, the monster opens its mouth to reveal a mouthful of long pointed teeth, with which it clenches down and begins to chew on the woman's breast. The only way to free oneself is to find someone who has Pa'ungis power to chant the demon away so it can slither back into the water, the damage done left it its wake.
This isn't a classic vampire along the lines of what one expects after Hollywood and television has finished with the motif, but it is close. The Western Hemisphere is enormous, however, and perhaps there is someone who has a better example from another location.