No.
You can't play spells and abilities while another spell or ability is resolving.
....unless the spell or ability says so
Isochron Scepter

Artifact
Imprint -- When Isochron Scepter comes into play, you may remove an instant card with converted mana cost 2 or less in your hand from the game. (The removed card is imprinted on this artifact.)

, T: You may copy the imprinted instant card and play the copy without paying its mana cost.