Can multiple event listeners/handlers be added to the same element using Javascript?

I have:

if (window.addEventListener) {
  window.addEventListener('load',videoPlayer,false);
}
else if (window.attachEvent) { 
  window.attachEvent('onload',videoPlayer);
}

and then later I have:

if (window.addEventListener) {
  window.addEventListener('load',somethingelse,false);
} else if (window.attachEvent) { 
  window.attachEvent('onload',somethingelse);
}

Is it preferred/functional to have them all together? Like

if (window.addEventListener) {
  window.addEventListener('load',videoPlayer,false);
  window.addEventListener('load',somethingelse,false);
} else if (window.attachEvent) { 
  window.attachEvent('onload',videoPlayer,false);
  window.attachEvent('onload',somethingelse);
}