Yes, Standardbred's can gait and should be considered gaited, and they are one of the foundation breeds found in many of today's gaited breeds.
Most Standardbreds can do a rack/singlefoot, a good flat walk, fox trot, pace, and stepping/saddle pace.
I found it really fairly easy to get most Standardbreds to pick up an easy gait, and both pacing breds and trotting breds can gait.
I spend about 1-2 weeks (more if they have been out of work but straight from the track about 2 weeks of saddle work) of walking them, and getting them to move off of leg and seat cues. I then start asking for speed at the walk and most pick up a really nice flat walk (my otstb will keep up with the TWHs we ride with) I gradually increase the time spent at a flat walk and then I ask for the intermediate easy gait. Depending on the horse many with throw in a variety of gaits until they get their balance. My guy goes between a nice fox trot to a really smooth single foot, I use the fox trot for trails and single foot for smoother footing.
My biggest "complaint" with OT STBs is they can be a bit clumsy about their feet. They are so used to a groomed surface that it takes a bit for them to figure out their feet. Once they do though, they can be very very sure footed, but just be prepared for a few trips and knuckling behind.
I love my Standardbreds and I really do encourage more people to check them out as pleasure horses.
What is your Standards name? Is he pacing or trotting do you know?