yes you can, but at the same time there's something that says no. in fact it very much depends how many videos you have on your site, if it's like a site which displays youtube videos, and adsense on the site, then I guess the answer is no, but if you have mainly text content and some videos, then yes. it's tricky.
Hi, If the Youtube videos you used are copyright material or some Adult content stuff then don't even think of using adsense on your website.