Nope. I see no way it is possible you can collect to much data. The more data you have available to you the more accurate your results/predictions will be.
I do however see how someone with so much data could not concentrate their efforts on the most important parts of the data, so I suggest some serious prioritizing of data.
Over at STAMP
stampscouting.org we work really hard to prioritize our data so with a small team of scouters you can get the best "bang for your buck" so to speak with your scouting.
Also, using the videos NASA provides for regionals is well... crappy for scouting. They are horrible at giving a complete picture of the match and spend 30 seconds watching a downed robot squirm on the ground. It is not their fault, they are not trained like ESPN camera men who know exactly how to follow play and predict where the next major point of action will be. They also do not have access to 20 different cameras in different positions.