The Damaging Modifier on the Move Object Power (page 119) states:
Damaging: Your effect can inflict damage, like an application of normal Strength with damage equal to its rank This includes damaging targets in grabs and making ranged “strike” attacks.
The text there would imply that Move Object is capable of "Grabbing" a target:
This includes damaging targets in grabs
In addition, the DCA version of the Hero Handbook has six examples of Move Object being used to move and grab people, with Wonder Woman's Lasso of Truth being most prominent.
The Fast Grab Advantage (page 84) states:
When you hit with an unarmed attack you can immediately make a grab check against that opponent as a free action (see Grab, page 196). Your unarmed attack inflicts its normal damage and counts as the initial attack check required to grab your opponent.
So the question is:
Does a Ranged, telekinetic version of an unarmed strike count as an Unarmed Strike for the purposes of Fast Grab?
And would this be any different from using Fast Grab on a Close Attack which required an actual Unarmed Strike?