Some effects in standard and limited can give a creature first strike at instant speed (aerial maneuver and boros reckoner).

My question is this: is there a window to give first strike after the "first strike" combat phase such that the creature will deal no damage?

In limited, this came up when someone attacked me with a 4/4 into arrows of justice but I strongly suspected he had a 1 or 2 mana trick. If I put him on maneuver, can I wait until after first strike, cast arrows, if he gives his 4/4 first strike it deals no damage?

Similar situations can come up in constructed when you are being attacked by boros reckoner, need to block with your own boros reckoner but cant afford to take the life hit.

My question is this: is there a window to give first strike after the "first strike" combat phase such that the creature will deal no damage?

In limited, this came up when someone attacked me with a 4/4 into arrows of justice but I strongly suspected he had a 1 or 2 mana trick. If I put him on maneuver, can I wait until after first strike, cast arrows, if he gives his 4/4 first strike it deals no damage?

Similar situations can come up in constructed when you are being attacked by boros reckoner, need to block with your own boros reckoner but cant afford to take the life hit.