Do you mean if the group contains a field with a certain value? If so, yes. Create a formula like this:
//{@hasA}:
if {table.field} = "A" then 1
Then use group selection (not suppression) by going to report->selection formula->GROUP and entering:
sum({@hasA},{table.groupfield}) = 0
This would select all groups that did NOT contain "A". You would then need to use running totals for any calculations across groups, since non-group selected records would contribute to the more usual inserted summaries.
-LB