Will a USB port be able to power a series of LEDs?
They definitely won't work from USB if connected in series (even two LEDs in series won't work).

If you connect a ~100 ohm resistor in series with each LED, you may be able to run about five LED/resistor sets connected in parallel from a USB port.  Without negotiation, a USB port is only guaranteed to supply up to 100 mA (although many USB ports have no current control, and may supply 500 mA or more).

According to the comments on Amazon, there is no recommended maximum current data for these LEDs, so I'm guessing 20 mA per LED would be acceptable.