Unfortunately, no not really, the compressor draws quite a bit more current when it starts up then when it's running,(every electric motor does) a surge protector only prevents voltage surges (limits them) on the line and would not help either Im afraid
'> On the bright side (bad pun) if it's not tripping the fuse or breaker on the line, it isn't harmfull, just annoying. you really should try to locate it to another line/plug thats not on a light circut if possible ( I know you don't have a lot of choices in an office)