Any melee can take out a Bard 1v1.
The thing is, there is no real 1v1 in this game, so this discussion isn't very relevant.
Even in the few times 1v1 scenarios happen (like lone scout vs lone flag defender), you can always call for help.

If you're having trouble as a Bard, all you have to do is knock them back, bind, and retreat into a safe area or at least next to your allies.
Sometimes it's unavoidable in Wolve's Den, but really, in Frontlines, you should not intentionally be trying to 1v1 ANY melee characters on your Bard. That is just basic strategy.

Bards aren't considered good because they rack up kill streaks or even because they do lots of damage. Bards are considered good because they can interrupt skills and spells from a safe distance and can offer some party support with songs, and Manasong can be a life saver too. Not to mention they have emergency backup healing with their LB... THIS REALLY HELPS VERSUS CASTER LB - CAN HELP SAVE ENTIRE PARTIES.

If you're looking for Bard 1v1 fights vs Melee, then yeah, you're going to lose every time. Pick another class if you want to do that.