Can my charger port be fixed?

It can certainly be fixed by a qualified. It is a somewhat more difficult job than your average charge port replacement because of the water tight construction of the S5 Sport. It's design makes it difficult to disassemble without running the risk of breaking other parts if you've never done it before. Also, once it has been disassembled and reassembled it will never again have the level of water tightness that it came with. Google cell phone repair in your area. Depending on where you live I'd guess the repair could from $65 to $110