Да, это возможно с response-router-dom
Пример кода:
const queryParams = [];
for(let i in this.state.someData){
queryParams.push(encodeURIComponent(i) + "=" + encodeURIComponent(this.state.someData[i])); // this will create a array of property name and value//
}
const queryString = queryParams.join("&"); // Will join the Params with & //
this.props.history.push({
pathname:'/yourURL',
search:'?'+ queryString
});
}