Oryginal question was about velociraptor. Then, strictly speaking, no. But raptor, probably.
What's a velociraptor?
Thanks largely to Jurassic Park, "Velociraptor" has come into common use to represent smart, human-killing pack hunters. Sadly, Velociraptor proper is about the size of a turkey, so you could never ride one. The name was used to refer to a different, much larger Dromeosaur, Deinonychus. Reportedly the studio felt that "Deinonychus" would be too hard for audiences to read and correctly pronounce. (Opinion: They were probably right about that.)
Raptor-ish saurids size
Even the Deinonychus was nowhere near big enough for a human to ride. However, there were other dinosaurs that might serve your purpose:
Source: Reduced from "Dromie scale" by Matt Martyniuk - Own work. Licensed under CC BY 3.0 via Wikimedia Commons
Utahraptor, which is also shown in the above graphic, is clearly large enough. Whether it's got the bone and muscle structure to carry a human is an open question.
Achillobator: only slightly smaller than the Utahraptor shown in the graphic. Not out of the question that a large Achillobatus could carry a smallish human.
Source: Reduced from "Achillobator scale" by Matt Martyniuk - Own work. Licensed under CC BY 3.0 via Wikimedia Commons
So, yes, in general, velociraptor-like big enough to ride did exist. But size isn't the only consideration.
Humans riding birds: can it be done?
Horses are big and strong, and we ride them a lot, and it doesn't seem strange. But birds? Could even a big strong bird carry a human?
It seems weird, but humans have been riding ostriches for centuries. Large flightless birds such as ostriches and emus have extremely efficient musculature, and bones strong enough to deliver killing kicks to humans.
Bear in mind that ostrich riding is usually a moderately daffy sport, and not a practical means of transportation. Still, it does suggest that a birdlike animal of ostrich-size or better could carry humans around pretty neatly.
As a bonus, I found the following graphic. Note that it's not the same scale as the two previous, and didn't have creator information. But it does show very clearly the comparison between Struthio camelus, today's ostrich, and the Utahraptor discussed above.
Source: Another Head Full Of Fantasy, blog of author Jesse Rebcock. (This is not an endorsement: I've never read any of his work.)
Finally: your question is cool because:
All of the prehistoric raptors had feathers, not scales as depicted in Jurassic Park).
These beasts are more wild and beautiful than you thought. :-)