No, I'm pretty sure it may just mean that it can't get adequate power from the USB ports you tried it with. Notebooks are known for not being able to supply much current at the USB ports and even a notebook drive can take extra current to spin up. You may have chosen a drive that takes too much current at startup. Which drive do you have in there? I'll look up the specs and compare some others.
. If you have a digital voltmeter, open the external drive housing and measure the +5V pin in there to see the reading you get at startup when you plug the USB cable in. Another option is just to get a +5V regulated power supply to plug into the external drive (assuming you plug both of the PC end plugs in first then plug into the external enclosure). There is a jack for a wall-wart but one doesn't seem to be supplied.
http://www.bgmicro.com usually has a good range of them but you'll need to know what size plug it takes. And the polarity must be correct as well (looks like Neg inside and Pos outside from the pic). Most Radio Shack stores have a bunch of barrel connectors so you can see which size fits. They will also have the wall warts there, but the regulated ones are too expensive. Or you could rig a temporary supply from 3 AA batteries but you'd still have to use the right size barrel connector as when external power is plugged in, it should automatically disconnect the +5 line(s) from the USB port.
Another option is a self-powered USB hub as it should include a wall-wart that can supply significantly more power than any normal USB port.
I see it has a USB Y connector so I'm guessing you have to use two USB ports for adequate power. Many have a USB and a PS/2 pass-thru connector for adequate power. You have to be sure the two USB ports you plug the Y into are supplied their +5 current separately or you still may not get adequate power.
Pretty sure I'm nosing down the correct alley, but you may still just want to trade for one that includes a wall-wart. I never get one without a wall-wart or some type of external power as I'm well aware of the limitations of USB power. And I generally carry a self-powered USB hub in my kit.
Good luck,
.bh.