No, although that's what I would've preferred doing. A friend of mine got one before I did, and discovered that they're constructed to not come apart the way one can do with a regular metal cover. I have not checked myself, but I have known her for a good long while (via internet, anyhow), so I abandoned any attempt to take the covers off.
So I did the next best thing. Spent $10 for white Bobbin Toppers, which are just little vinyl cling covers intended to be put on top of open-coil 'buckers or Fender-style singles, and stuck 'em straight on top of the ugly black covers. Gives the illusion of open coils, but is completely reversible:
Also, note that because the SGJ (at least the '13 version) is 24-fret, the stock pickguard I bought had to be cut down to fit. Fortunately I have an electric mitre saw, and all the necessary cuts were straight lines, to the "tab" between the pickups and the edge of the pickguard that butts up against the treble edge of the pickup rings. I cut it close enough that the pickguard stays on simply due to the tab fitting closely, but have also put double-sided tape on the underside where screws would go. Again, completely reversible.