Yes led televisions can get that burn in.
I was viewing pictures on my led television and accidentally left it on with a photo for 5 hours without realizing I had left the tv on with the picture and came back to find it with the same picture and after I turned it off and then turned the tv back on the next day I notice an outline of the image on the tv.
The television was still watchable but it makes it harder get a good picture on the television.
Be sure to not leave a still image on the led screen or it will eventually burn an outline of the image into your television.