It's not possible, the faster you approach the light the greater the red shift and time slows down, so you never reach the socket.<br />
Now if you were an engineer, you'd only have to approach it to within 0.5 meters, from where you could reach out with your arm and change the bulb. (you'd of course have another spare in your back pocket for redundancy, and two with Edison screw ba<x>ses in case they weren't bayonet fit).
Depends on how large the grant is for funding the project.
one, to call the maintenance guy
ROFL.... So logical !