If I take the Wild Talent feat (from UA 2020: Psionic Options Revisited, DM approved) and improve my Charisma, this allows me to do the following:
You awaken to your psionic potential, which enhances your mind or body. Increase one ability score of your choice by 1, to a maximum of 20, to represent this enhancement.
You also harbor a wellspring of psionic power within yourself, an energy that ebbs and flows as you channel it in various ways. This power is represented by your Psionic Talent die, the starting size of which is a d6.
[...]
Psi-Guided Strike. Once on each of your turns when you hit with an attack roll that uses the ability increased by this feat, you can roll your Psionic Talent die after you make the damage roll and then replace one of the damage dice with the number rolled on the Psionic Talent die.
Chaos Bolt requires an attack roll based on my spellcasting modifier (I am a Sorcerer, using Charisma) so it should benefit from Psi-Guided Strike.
Per the description of the Chaos Bolt spell:
You hurl an undulating, warbling mass of chaotic energy at one creature in range. Make a ranged spell attack against the target. On a hit, the target takes 2d8 + 1d6 damage. Choose one of the d8s. The number rolled on that die determines the attack's damage type, as shown below.
(Cue table that isn't relevant here. Here comes the section in question:)
If you roll the same number on both d8s, the chaotic energy leaps from the target to a different creature of your choice within 30 feet of it. Make a new attack roll against the new target, and make a new damage roll, which could cause the chaotic energy to leap again.
Suppose I cast Chaos Bolt, and roll a 2 and a 6 on my 2d8 for the spell's damage. If I then choose to use my Psi-Guided Strike and replace my rolled 2 with a d6, I then roll a 6. Now, the damage rolls would be 6 (from a d8), and a 6 (from a d6, which replaced the other d8). The last d6 technically still adds to the damage of the spell, but it doesn't affect the behavior in question here.
Would Chaos Bolt then activate its secondary ability and leap to another target, as if I had rolled the same number on both d8s?