However, you would probably need to file your case separately in court and get it combined with other cases to form a new class action, or join or an existing class action, as the breach would only apply on a case-by-case basis.
When a company says "you can't come after us because we're already facing too many other similar claims", that's called bankruptcy proceedings.
I suppose the court fees would be prohibitive, unless you had a strong case and could make the defendant pay them. The math could work out for the right cases though. Back in the day, I remember a class action lawsuit over Philips CD burners that just resulted in something like a $200 coupon off a new Philips CD burner. Basically a useless piece of paper unless you wanted to give the company another $300, but if that could have been made into cash...