Not necessarily. But true in most cases.
Why some headphones need a good amplifier? In this case, the HD650 has 300 ohms of nominal impedance.
It's got something to do with V = RI or V = ZI but I'll leave it to the more educated people to explain that.
Generally speaking, the higher the impedance, the more difficult it is to drive.
Your Ipod should be able to drive anything up to 40 ohms nicely.
Weaker portable amps like E7, D-Zero, PA2V2 should be able to drive anything up to 80 ohms nicely.
Anything above that, you would need a desktop amp or a really powerful portable amplifier to power it properly.
Of course these are just estimates and there are exceptions.