Can I change my state of residency from one school year to the next?

Read the information on California residency for tuition purposes from UC, CSU, and community colleges:
https://www.ucop.edu/residency/establishing-residency.html
https://www2.calstate.edu/apply/california-residency-for-tuition-purposes/Pages/default.aspx
http://extranet.cccco.edu/Portals/1/CFFP/Fiscal_Services/Attndc_Acctg/Residency/Residency_Overview_Document_2013.pdf

For other states, you need to look up those states’ schools’ web sites on the subject.