3.P to 5e

[Ruethgar]

This particular one was using Gramarie Mark 2(Homebrew) for the Prime Mover prestige class, breached early via RAW reading of bloodlines. It isn’t telekinesis exactly, but rather bits an pieces of it through different powers. Mage Hand, Levitate, Telekinetic Force/Thrust/Maneuver.

However I could have just as easily taken two levels of ghost and the Ghostly Grasp feat to be functional on the material plane(maybe Human Heritage to be a sort of living ghost). Four levels and LA buy off trickery could get my Physical Manifestation as well to skip Ghostly Grasp.

Sculpt Self for all Sanctum Cantrips at will gives you free XP to work with that leaves you with way more than enough to get Telekinesis at will.

Create Device(Wand) with a static charger is near enough to unlimited uses per day to be at will(+1 charge every 1d4 rounds up to max).

Also psionics can be at will via Psycarnum Infusion and Azure Talent. Even if you skip that, Body Fuel has work arounds.

StP Erudite and Mind Mage existing lets you take any spell as a level one spell or power. It’s far from at will, but a level 6 Psion who was taught level 1 Telekinesis could manifest it 35 times a day before bonus PP which is more than enough to be practically at will for a typical 4 encounter adventuring day.