^^ No doubt. Matter of fact, I'll teach everyone how to do it:
1) youtube.com
2) Type in either the names of the fighters (ex. Liddell vs. Jackson; De La Hoya vs. Douchebag) or the title of the fight (ex. UFC 71)... Press SEARCH.
** 3) Under "Sort By" on the left side of your screen, click on Date Added.
So if the fight's been over for a little while (usually 8-12 hours later), by clicking on "Date Added", you're starting the search with the most recent additions. The most recent will usually have what you want. If not, just wait a little longer. There's only a small window of opportunity before the copyright siezes control!