Toss together chicken, salsa, honey, chipotle chiles, salt, and garlic powder using tongs in a programmable pressure multicooker, such as Instant Pot.
Cover with lid; lock in place. Turn steam release handle to SEALING position. Select MANUAL/PRESSURE COOK setting. Select HIGH pressure for 8 minutes.
Carefully turn steam release handle to VENTING position; let steam fully escape. Remove lid.
Transfer chicken to a bowl, leaving chile mixture in cooker.
Select SAUTÉ setting on cooker. Select HIGH temperature setting; bring chile mixture to a boil. Boil, stirring occasionally, until sauce thickens, about 15 minutes. Press CANCEL.
While chile mixture thickens, shred chicken using 2 forks.
Return shredded chicken to cooker; stir to coat in sauce. Add additional salt to taste, stirring to combine.
Serve with warmed tortillas and desired toppings.
