Did Elvis ever write his own song?

Sorry, but I never liked Elvis, and struggle to see the attraction.
All I hear on the radio, is advert after advert that claims the ultimate Elvis collection!
Drives me mad!

"Now, you can own the defintive Elvis Collection!.."
or...
"At last...the ultimate Elvis collection"
or...
"Ever wished you could have a decent collection of Elvis songs?......Well, now you can, with the absolute ultimate, never before released, original, bestest, most fandabbydozzyiest collection ever.."

Anyways...I'm grumpy..just ignore me
Happy fricking B'day