Probably not. Two national class actions involving asbestos were settled in the trial courts in the past two years. However, certain objectors appealed the settlements, said the cases were not proper under class action law, and obtained Supreme Court reversal of the settlements. Presently, there are no national asbestos class action settlements paying money to asbestos victims. The only "national settlements" which might be available are those which have been approved in Bankruptcy Courts as part of a liquidation or reorganization plan for companies formerly selling asbestos.
Source