Facebook – How to specify which user or group of users can only view certain information on Facebook

No.

Taken from Facebook's FAQ:

Facebook does not provide applications or groups with the technical means to allow people to track profile views or see statistics on how often a particular piece of content has been viewed and by whom. If an application claims to provide this functionality, please report the application by going to the application’s About page and clicking "Report Application" at the bottom of the page, or by clicking "Report" at the bottom of any canvas page within the application.

Applications you use may ask for permission to access content from your News Feed and Wall. Granting this permission does not allow applications to see who has viewed your profile. It simply allows applications to see which friends have interacted with posts, such as which friends liked or engaged with a particular wall post.

Source

If you post a video to a group then all members of the group will be able to see the video. If the group is open then anyone who views the group will be able to see the video.

From the Facebook FAQ

How do I post videos to a group?

Group admins can select whether videos can be posted to a group from the Customize tab of the Edit Group page. If videos are enabled, the admins have the choice to allow either all group members or only other admins to post videos.

If you are allowed to add videos, you can do this by clicking the "Video" icon in the Publisher at the top of the group’s main page. If this is an open group, the videos will be visible to everyone who views the group. The videos posted on closed and secret groups are only visible to other members. Admins always have the ability to remove videos that they do not want to be associated with their group