x2Space Beacon
Once during your turn (before your attack), you may discard a card from your hand. If you do, put 2 basic Energy cards from your discard pile into your hand. (You can't choose a card you discarded with the effect of this Ability.)
Star FreezeFlip a coin. If heads, your opponent's Active Pokémon is now Paralyzed.
Can I use Starmie's "Space Beacon" Ability to discard a card from my hand if there are no Basic Energies in my Discard Pile?
Yes you can. The first part of Space Beacon is to discard a card from your hand, period. Then you do as much of the rest of the Ability as you are able to.