In a word, no. Snoke isn't a Sith, but he was able to use Force Lightning on his apprentice, Kylo Ren.
Mother Talzin isn't a Sith, but she's able to use Force Lightning to attack Mace Windu, nearly (but alas not actually) killing Jar Jar in the process.
What users of Force Lightning have in common is that they're always users of the dark side of the Force. Lightning is a way of channelling "the abundant energies generated by the dark side", and in canon, it's invariably described as being intimately linked with aggression, anger and a desire to cause harm.
The abundant energies generated by the dark side can be made manifest,
channeled into concentrated bursts of electricity capable of
incalculable devastation. With this power, I have made the strongest
of Jedi Masters beg for mercy. And I have shown them none. "Even the
greatest of Sith Lords is not immune to the destructive effects of
this dark display.
Star Wars: Secrets of the Sith
Those who use the Force appropriately (such as the Jedi) can defend against it, but they can't summon it without turning away from their training, as seen in Dooku: Jedi Lost.
DOOKU: In my vision. I saw…lightning, coursing through bodies…
LENE: Dooku, you’re going to be all right…
DOOKU: It’s a mark of the dark side.
LENE: Not always.
Rey was apparently in the grip of the dark side when she inadvertently used her aggression and hatred to power her lightning.