Yes, you can tactically become a shareholder and file suits as some people do all the time. You miss earning you get hit by a shareholder lawsuit every time. This is not a rare thing, but also does not necessarily imply they have any reasonable claim to any damages. Could be just leeching.
The distinction between this and the SEC matter that was settled is that SEC is supposed to care about the integrity of the market at large, not just Tesla, Inc. shareholders doing well at the cost of other players in the market that were misled. That's a much stronger basis to argue for damages.