Short answer - NO. You could do it if you ask for written permission from original creators and only upload it when you have all written permissions from all the videos in your compilation, so as soon as your videos gets copyright strike you can send evidence.
CREATIVE COMMONS - Believe me or not , there are lots of people who upload copyrighted material to youtube under Creative Commons license.
Then when you go to editor on Youtube and use those videos you are risking your account getting a strike. So be very careful.