Yes, you can have multiple locators to the same element. But not at the same time. You will have to use if else condition with try catch block.
e.g.
Element ele = null;
try{
ele = driver.findElement(By.id("your id here"));
}catch(NoSuchElementException ignore){
ele = driver.findElement(By.className("your class name here"));
}
Hope that helps! Please feel free to comment if you have any questions.