Yes, as long as you follow these guidelines:
Type of site/company:
Bloggers, news/information websites and nonprofits (by which we mean: registered 501(c)3 organizations in the United States, and the equivalent in all other countries), may make TEDTalks available under a Creative Commons (CC) license, provided they follow the rest of the guidelines on this page.
Video player: You must use the TED (or YouTube) embeddable player. This allows us to further our overall mission by tracking video usage. Scraping video from TED.com is not permitted.
Attribution: You must add a visible link back to TED.com
Running talks in their entirety: You may not edit TEDTalks, or alter them in any way. This is essential for preserving the integrity of the speaker's ideas.