As far as space stations go, certainly. http://curious.astro.cornell.edu/question.php?number=65

actually, we have achieved artificial gravity in a spacecraft. one of apollo missions had a burner that wouldn't shut off, so they (while orbiting earth) started spinning faster and faster. they experienced so many G's that they nearly passed out. the key to creating gravity is in rotation, the problem is getting it right. will we ever get star trek gravity? not real soon, if ever. some sort of gravity, though, is possible if we build a new space station.

They proved that you can create artificial gravity by spinning the space craft fast enough. It won't be like the TV shows but it's possible. So if you spin the space craft enough in space you'll get this effect. 'Wooster said the Mars Gravity Biosatellite would carry 15 mice into space, spin them up to create artificial gravity. To generate artificial gravity for the animals on board, the satellite will spin rapidly, making roughly one rotation every two seconds (34 revolutions per minute). This inward acceleration will simulate the force of gravity on the Martian surface - roughly one-third that of Earth. The specimens would then return to Earth under parachute after five weeks of travel. "We what to see what effects can be found in their bones, muscles, and vestibular system," Wooster told SPACE.com. While progress on designing the biosatellite has been steady, finding the needed money to complete the estimated $30 million project has been a tough assignment. So far, about $1 million has been raised. Thanks to advisors and industry support -- and an anonymous donor willing to cover about half the cost of the payload's booster -- the work continues. Over 300 students have taken part in the endeavor since it began in August 2001, Wooster said. "If we had the money on the table today, we could launch in 2008." 'It is really rewarding and worthwhile. The students are learning a tremendous amount, a lot more by building real prototype hardware and then testing that hardware. That's better than sitting in a classroom just calculating some things," Wooster concluded.' http://www.space.com/businesstechnology/technology/artificial_gravity_041125.html

Yes, if it spins. But the closer you get to the axis of rotation, the weaker the gravity will become.

This is possible, using magnetics, and spinning the craft. It is something that we have been working on since we started sending people to space. * A rotating spacecraft will produce the feeling of gravity on its inside hull. The rotation drives any object inside the spacecraft toward the hull, thereby giving the appearance of a gravitational pull directed outward. * A similar effect to gravity has been created through diamagnetism. It requires magnets with extremely powerful magnetic fields. * Another way artificial gravity may be achieved is by installing an ultra-high density core into a spacecraft so that it would generate its own gravitational field and pull everything inside towards it. * http://en.wikipedia.org/wiki/Artificial_gravity