In a 6-qt Instant Pot, add the water, rice, carrots, soy sauce, ginger, garlic, kombu (if using), and salt. Stir to combine, then place the chicken on top in an even layer.
Cover with the lid, set the valve to “sealing”, and pressure cook on high for 20 minutes (it will take about 20-25 minutes to come to pressure). Once the timer goes off, let it naturally release for 45 minutes, then manually release the rest of the pressure (the liquid/steam will be thick, so it may spurt/splatter - cover with a kitchen towel to prevent splatter).
Transfer the chicken to a cutting board to let it cool for a bit. Then remove the skin and shred it up with two forks (it should be fall-off-the-bone tender!).
Give the rice a stir. The rice should be broken down and very soft, almost porridge-like. If you’d like to add greens, now is the time to stir them in. If you want the porridge to be a thicker consistency, press “cancel” then press “saute” and simmer it for a few minutes.
Stir the chicken back into the pot.
To make the cilantro ginger oil, add all ingredients to a small bowl and stir to combine.
Serve the chicken and rice topped with an egg, cilantro ginger oil, sriracha or kimchi, more herbs (if using), and a sprinkle of sesame seeds.