| Cavall |
It would depend on how you mean.
For yourself? Yes, likely. Perform in goblin. I see nothing where it says you have to dance, despite the name of it. It also goes on to say you don't "need" to hear yourself. If you go RAW you would be able to use singing. However, you must be able to hear yourself to gain the feats benefit it would appear.
For others? Absolutely not. Dervish says only yiu gain the bonuses and battle singer turns the bonus given to a saving throw bonus. If others gain no bonus, they gain no feat benefit. In other words adding 0 to their saves.
All that being said, if you go dance and not singing for your perform than you would likely gain no personal benefit, being unable to be heard in goblin while dancing.