No, those moments are great and moving, no doubt about it - but overall, she's not a good person. I think the only selfless thing she ever does is take Prim's place.

She didn't join up with Rue because she liked her, but because Rue helped her. She doesn't play the love-angle with Peeta because she likes him, but so that she can look better for the audience. She's not charming, or nice, or empathetic at all. She's pretty selfish except for the one move that lands her in the Games.

Then again, a protagonist doesn't have to be those things to be an interesting person. Odysseus is pretty much a deceitful, whore-chasing asshole, after all.