Endymion, the Mighty Master of Magic vs Starlight Road
No, Starlight Road cannot be activated.
In order to chain Starlight Road, it must be certain that 2 or more cards will be destroyed at the time of resolution; see various OCG rulings:
Dark Master Zorc/Time Wizard

&quot;Starlight Road&quot; cannot be Chained to the activation of effects like that of &quot;Dark Master - Zorc&quot; or &quot;Time Wizard&quot;, since it is unknown whether or not the effect will destroy two cards on your side of the field.

Elemental Hero Stratos

If the effect of &quot;Elemental Hero Stratos&quot; which destroys Spell/Trap Cards is activated, then when resolving the effect its controller can choose to not destroy any Spell/Trap Cards. Thus, &quot;Starlight Road&quot; cannot be Chained to this effect, since it is unknown whether or not the effect of &quot;Elemental Hero Stratos&quot; will destroy two Spell/Trap Cards you control.

As Endymion's effect destroys &quot;up to&quot; that many cards on the field, the player can theoretically choose to destroy fewer than two cards, so Starlight Road cannot be activated.