I doubt that information is in the public, but I'd be shocked if multiple teams don't track that. That would take a lot of man hours as you are combining zone entries and exits (Corey Sznajder/@Shutdownline) and active possession and control (which might be a bit more subjective, what is a 50/50 puck or how do you define a puck that is trapped in the wall where multiple players are digging for it). Is that posession information already tagged in the logs? I think the closest you get are takeaways and giveaways, but they don't cover all the times pucks change possession.
with a naked eye, different lines are doing different way. For example:
Sid's line dominates time of possession, cycle hard but does not produce too many shots, than when the cycle finally breaks they are not doing good job coming back allowing for some chances and shots developing and sometimnes gets pinned down hence their Corsi lately is dropping although Sid looks AS GOOD AND DANGEROUS AND PRODUCTIVE AS EVER
On the other hand Geno's line plays very conservatively, with them there are layers in NZ (probably by design now after that line bled goals in Novemebre and good portion of december) Geno is for the most part F3 and does a lot of defensive work in and around the NZ. They play a lot of counterattacking creating a very health number of dangerous chances and shots. if you look the difference with Corsi and Fenwick, it tells you that Geno's line got rarely blocked since that don't have those full circle attacks with a lot of attempts by d-man. I like the way they are playing now and I think that is kind of geniues if this was truly by design
Third line just does not work, bleeding shots and not creating any shots and killing our Corsi numbers (not that I care)
Fourth line is Ok