Place chicken and water in instant pot and season with salt and pepper.
Cook on high pressure for 7 minutes and manually release steam.
Drain hominy in colander and rinse with water.
Remove chicken from pot and shred or chop chicken. Add back to pot and add the rest of the ingredients.
Cook on high pressure for 3 minutes just to heat everything through and blend the flavors together. Manually release pressure.
Garnish with jalapenos, radishes, cilantro, and lime. Serve with tortilla chips.
*Alternatively place everything but hominy and garnish ingredients in large pot or dutch oven. Cover and bring to boil. Reduce heat, add hominy, and simmer on medium-low heat for 30 minutes. Remove chicken and shred or chop it and place back in pot. Serve and garnish as mentioned previously.