Too little information. Of course it is possible, after all your electric motors run on solenoids. But the real questions are:
What material is the object made of? Why are you thinking about a magnetic system? Can the object be in contact with a lever? Is there friction? Over what length do you accelerate? Are you accelerating against gravity? Will the object carry its own solenoid? Will the object be made of metal? Does the object need to stay at that speed or can it be pulled against a magnet? I imagine with a large niobium magnet iron particles could reach that speed on the last mm. 100 km/h is not that fast.