When using Mamoswine's "Forceful Tackle" attack, can I put enough damage counters on Mamoswine to knock it out? In other words, can I put more damage counters on it than it has HP remaining?
Yes, you can put up to 9 damage counters on it even if it doesn't have that much HP remaining. The extra damage will be done, and at the end of the attack Mamoswine will be knocked out.
Source: Crimson Invasion FAQ (2017-10-20), TPCi Rules Team (2017-11-02)