The Slice of Psionics book focuses entirely on the Elan as a psychic heritage with traits like telepathy and other psychic options, but they don't have powers in the way an Esper does, no.
Take Psionic Resilience, for example. You gain a number of d6s equal to your proficiency bonus and when you take damage you can use a reaction to roll one or more dice plus Int, Wis, or Cha and reduce the damage by the rolled amount. And regain those dice on a long rest.
They're not psi dice being used for a different purpose. It's just a straight heritage ability with a psionic flavor, and not a separate psionic system.