Question

Since technically using Fling is using your item.

Answer 1

I just found out the answer is yes Embargo prevents Fling.

Comments

You answered your own question!?

Answer 2

It is also technically using a move so no.
P.S. I just did it on my game.

Comments

Did your opponent use Embargo and then you used Fling or did you use Embargo and your opponent used Fling. Or did you use both Embargo and Fling.

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I would guess he did it in a double battle and used embargo on the pokemon with fling.