Stoika or Stoyka could be both a feminine given name and a surname. Notable people with this name include:
As a given name
Stoyka Krasteva (born 1985), Bulgarian boxer Stoika Milanova (1945–2024), Bulgarian violinist
As a surname
Constantin T. Stoika (1892–1916), Romanian poet and prose writer Darlene Stoyka (born 1956), Canadian field hockey player Oleksandr Stoyka (1890–1943), Greek Catholic hierarch