Well,. I need to tell you I sometimes go very literal because.. Well. it is funny.
As ask the answer is no it is not possible because there is no u-Tube
It is Youtube.
IF you are looking at a page On YouTube usually bottom right below the video is a "Llink" to embed the video in your own page or message..
I usually just copy the URL line on my browser when watching the video and paste the URL into a message.
HOW TO COPY on a touch screen device.. i can not help you with.. Varies from box to box. I have 2 of them and .. Well, remembering which works is a pain.