No, there is no concern with duplicate content. The article below explains why.
Google, the owner of Youtube, recommends the creation of a standalone video page (a TV page) on your site for every video that you own.
See Google’s published “Video Best Practices” here, where the following is stated under the title “Create a Great User Experience for your Video Pages”.
“Create a Standalone Landing Page for each Video, where you can gather all its related information.”
Note that the discovery of videos on Youtube does not conflict with the discovery of videos on your site. After Google, Youtube is the second most popular search engine on the web. We therefore recommend to first prioritize the strategy for discovery of content on Google and publish a standalone video page for every video on your site, per Google’s recommendation. Then, post your video on Youtube as well so Youtube's search can pick it up. Youtube search will only yield what is on Youtube. Also, in this way, you will get people watching the content on all Youtube channels, via the Youtube Mobile App, Smart TVs, etc.
If you still have any concern about duplicate content on the web, despite Google’s clear recommendations above, we will further emphasize why this should not be a concern.
Google indexes pages, not videos.
Google never actually ranks videos in search results, but rather “video pages”. When you look at the video search results of Google.com, you will see that they will always take you directly to an HTML page to watch the video.
You are taken to a secondary “search” landing page served by Google and for each image above, you’re given the option to “visit page” (navigate to the page where the image is embedded) or “view image,” which takes you to the URL of the individual image asset.
A video (as an asset) is never compared with another video (as an asset) elsewhere on the web when looking at any level of duplication. Pages are compared. Therefore, as long as you maintain a page that is rich with content and the video’s “related information”, Google will index such page as a unique page that can qualify for a Video Search result, provided the video is prominently displayed with all applicable metadata per Google’s recommendations. Your page is therefore unique on the web and in no way a duplicate of any other page.
Moreover, if we look at Google’s recommendation above to include on every video page “..all its related information”, the showcased products alone are directly related to the video and unique to the page on your site, which naturally appear and are indexed for Google to discover.
See the above example of a TV page with matching related products on the right.
Related products naturally appear with every shoppable TV Page. This not only provides related information per Google’s recommendation, it also enables the video page to come up as a video search result when people are searching the applicable related product search terms. All such terms come directly from your catalog and are natively indexed on every TV page. This, by definition, extends associated keywords and metadata of each and every video to include your specific product metadata, thereby making each video page unique and discoverable by your shoppers on your website.