Can I call commit from one of mutations in Vuex store

If you absolutely must commit two mutations, why not do it from an action? Actions don’t have to perform async operations. You can destructure the commit method in your action the same way you do with state like so:

commitTwoThings: ({commit}, payload) => {
  commit('MUTATION_1', payload.thing)
  commit('MUTATION_2', payload.otherThing)
}