Thief – Can the Telekinetic Projectile spell be used with Sneak Attack?

No

The description of Sneak Attack lists the requirements to take effect as a

If you hit a creature that has the footing condition (page 620)
with an agile melee weapon or finesse, an agile or finesse without weapons
attack, or remotely armed attack

And the Telekenetic Projectile spell requires you to

Make a ranged attack against the target

This is not a range armed attack as required by Sneak Attack. Plus, it's not a spell attack like Magical Trickster asks

When you succeed in a spell attack, cast an AC against a flat-footed enemy.
and the spell deals damage

and so will not even benefit from Sneak Attack if you have this feat.

However

From the General Rules section on page 446

The attack jets take various forms and are often very variable
depending on the weapon you are using for the attack, but there are three
main types: melee attack rolls, ranged attack rolls, and spell attacks
rollers

Which seems to indicate that you can not really have an untyped "remote attack" stream. It is therefore logical to assume that the reference to "ranged attack" in the Telekenetic Projectile entry refers to a "ranged attack" because the damage component benefits from your spell casting modifier. If this is the case (and I would decide that way as GM), then you can enjoy Sneak Attack. if you had the feat of Magical Trickster.

pathfinder 2e – Can Telekinetic Projectile be used with Sneak Attack?

No

The description of Sneak Attack lists the requirements to take effect as a

If you hit a creature that has the footing condition (page 620)
with an agile melee weapon or finesse, an agile or finesse without weapons
attack, or a range armed attack

And the Telekenetic Projectile spell requires you to

Make a ranged attack against the target

This is not a range armed attack as required by Sneak Attack. Plus, it's not a spell attack like Magical Trickster asks

When you succeed in a spell attack, cast an AC against a flat-footed enemy.
and the spell deals damage

and so will not even benefit from Sneak Attack if you have this feat.

However

From the General Rules section on page 446

The attack jets take various forms and are often very variable
depending on the weapon you are using for the attack, but there are three
main types: melee attack rolls, ranged attack rolls, and spell attacks
rollers

Which seems to indicate that you can not really have an untyped "remote attack" stream. It is therefore logical to assume that the reference to "ranged attack" in the Telekenetic Projectile entry refers to a "ranged attack" because the damage component benefits from your spell casting modifier. If this is the case (and I would decide that way as GM), then you can enjoy Sneak Attack. if you had the feat of Magical Trickster.

PC Games – Telekinetic (2018) PLAZA | NulledTeam UnderGround

Telekinetic (2018) PLAZA | Size: 5.14 GB

Genre: Adventure, Independent,
Developer: TheBlavas
Publisher: TheBlavas
Release date: Dec 17 2018
Languages: English
The largest shopping center

The description:
Telekinetic – Independent horror, with uncomplicated puzzles, but with a mysterious story.
You come to your senses in a strange place, around damaged bodies and a lot of blood, you have a pierced head and, instead of the left hand, its mechanical resemblance, endowed with an interesting feature: telekinesis.

Game Features:

Telekinesis – you can pick up and throw a variety of objects, as well as solve puzzles.
History – your story is short, but it is mysterious and also offers several finals.
Atmosphere – plunge into an atmosphere of fear and sadness.

Required configuration:
Operating System: Microsoft® Windows® XP / Vista / 7
Processor: Core i5-560m
Memory: 8 GB of RAM
Graphics: NVIDIA Geforce GTX 660
Storage: 9 GB of available space
Sound card: DirectX compatible