Could Harry ruin the Regeneration potion by willingly giving blood?

Can Harry Potter ruin the Regeneration potion (the one of Flesh-Blood-Bone from Harry Potter and the Goblet of Fire) by simply willing to share the blood?

B-blood of the enemy... forcibly taken... you will... resurrect your foe.

So, if Harry just went "I'm willing to share the drop of blood", would this ruin the potion?