no it does not because stardust only stops effects that "destroy" a card(s) "remove" is different and therefore stardust cannot negate the effect
Also you can get a card called divine wrath in a pack and negate it.
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[Kaizoku]
-Stardust Dragon/Assault mode can, Stardust Dragon can only negate destruction.
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It can't be Normal Summoned or Set, and can't be special summoned except by removing from play a Stardust Dragon from your Extra Deck.
Copycat has an effect that Triggers when it is summoned. Stardust Dragon Assault Mode can chain to this trigger to negate it, and destroy Copycat.
Stardust Dragon will be able to use its effect to negate a card. However, it will not be able to Special Summon itself from the Graveyard. This is because it was not properly Synchro Summoned first; therefore, it is not eligible to be Special Summoned from the Graveyard.The effect of Starlight Road does not state that the Special Summon is treated as a Synchro Summon. It does not properly Synchro Summon Stardust Dragon.For confirmation on this ruling, click on the "Related Link" below.
If you use Stardust's effect, then it is tributed but not destroyed. That means a Call of the Haunted that summoned it, will remain on the field. However since Equip Spell cards can't remain on the field without a target, Premature Burial will be destroyed.
Yes you can.