I've seen it done, though i'm personally not a fan of it. The tiger barbs in a cichlid tank are mainly used as dithers, meaning a fish used as a target for aggression, or at least to spread that aggression out. Kind of like a distraction from other cichlids in the tank. So they can and do get beaten up.
At a young age they should leave each other alone. But when the cichlids grow you're barbs might become targets and could be beaten up or killed.
Just know going in that when the cichlids grow your barbs have the potential to be killed or beaten up, so you may want to keep an eye out. Doesn't happen every time, but it could. The Mbuna you've picked arn't the most aggressive on the block, so thats good.