The reminder text reads "You may cast one or both halves of this card from your hand." The scepter allows you to cast a copy of the card from Exile. That it's not a card may or may not be relevant, but the addition of "from your hand" will surely be present in the rules, so this is a pretty clear "no".
UPDATE: The rules have been released, and the "from your hand" is indeed present in them.
702.100a Fuse is a static ability found on some split cards (see rule 708, "Split Cards" that applies while the card with fuse is in a player’s hand. If a player casts a split card with fuse from his or her hand, the player may choose to cast both halves of that split card. This choice is made before putting the split card with fuse onto the stack. The resulting spell is a fused split spell.
702.100b A fused split spell has two sets of characteristics and one converted mana cost. The converted mana cost of the spell is a number equal to the total amount of mana in its two mana costs, regardless of color.
702.100c The total cost of a fused split spell includes the mana cost of each half. (See rule 601.2e.)
702.100d As a fused split spell resolves, the controller of the spell follows instructions of the left half and then follows the instructions of the right half.