不，没有内置的API！
可以使用storage事件：

import { legacy_createStore as createStore,Store, applyMiddleware} from "redux";
import reducer from "./reducer";
import { persistReducer } from "redux-persist";
import storage from "redux-persist/lib/storage";
import persistStore from "redux-persist/es/persistStore";

const persistConfig = {
    key:"root",
    storage:storage,
    blacklist:["loading"]
}
 
const persistedReducer = persistReducer( persistConfig , reducer );
const store = createStore(
    persistedReducer, 
    {counter:0}, // initial state
);
 
const persistor = persistStore(store);
export {store , persistor};

/* this event update state when storage changed! */
window.addEventListener('storage',(e)=>{
    const persistData = JSON.parse(localStorage.getItem('persist:root'));
    const newCounterValue = parseInt(persistData.counter);
    console.log(newCounterValue);
    store.dispatch({type:'SET_VALUE',payload:newCounterValue})
})

其他选项是redux-state-sync包。redux-state-sync是redux的middleware

npm i redux-state-sync

在这个例子中，当计数器在localstorage中改变时，所有选项卡将接收新状态值！

import { legacy_createStore as createStore,Store, applyMiddleware} from "redux";
import reducer from "./reducer";
import { persistReducer } from "redux-persist";
import storage from "redux-persist/lib/storage";
import persistStore from "redux-persist/es/persistStore";

import {
    createStateSyncMiddleware,
    initMessageListener,
} from "redux-state-sync";
 
const persistConfig = {
    key:"root",
    storage:storage,
    blacklist:["loading"]
}
 
const persistedReducer = persistReducer( persistConfig , reducer );
const store = createStore(
    persistedReducer, 
    {counter:0}, // initial state
    applyMiddleware(createStateSyncMiddleware())
);

initMessageListener(store);
 
const persistor = persistStore(store);
export {store , persistor};

please see this link for more info！