It's definitely not possible for a player to call "Pick" in that situation, as they are not being prevented from moving towards the player they are guarding (they are prevented from moving towards the disc by the player they are guarding - there is nothing illegal about that - assuming it was not intentional).
If #27 Yellow had moved in a way that caused unavoidable contact with #10 white, #10 white might have been able to call a foul, but that does not appear to be the case here.
I think this is covered in the rules in the interpretation text below:
Interpretation | 18.3.1.
A pick should not be called by a defender who was obstructed while attempting to make a play on the disc, that is not related to their ability to move towards/with the player they are guarding (ie they are poaching), however a defender may call a violation under Rule 12.7 if applicable.