If I use Cyber Phoenix to ATTACK a monster and destroys it by battle, can I draw a card?

[Ridhwaan R]

Here's the lore:

"While this card is in face-up Attack Position, negate the effects of any Spell or Trap Card that targets 1 Machine-Type monster you control. When this face-up card attacks or is attacked, and it is destroyed by battle and sent to the Graveyard, you can draw 1 card"

Thanks in advance!!!