DAMAGE SHIELD (10 points)
PREREQUISITES: Close Combat Expert, Combat Reflexes, Energy Shield/Deflection, Flurry, Hypersonic Speed, Impervious, Invulnerability, or Poison
Choose a character.
When the character is the target of a successful close combat attack, the attacker is dealt 1 damage after the attack resolves.

ARMOR PIERCING (10 points)
Choose a character.
Damage dealt by the character may not be reduced below 1.

Can these 2 feats be used in combination so that no matter who hits the feated character in close combat will always take 1 click?
Its very much a ruling based on wording and how to effects come into play.

Yes. Filler

That's a fine combo. DS is damage dealt.

(Note that the guy doesn't even need to take damage from the attack to activate Damage Shield. Like an Impervious guy reducing it to 0 has still been successfully hit.)