Is Elizabeth Bennet from pride and prejudice similar to emma woodhouse in emma?

No. Elizabeth is aware of her own imperfections, she's very self-aware, Emma is a bit more uh "arrogant" she's very confident, but thinks of herself a bit too highly in the beginning and then finally grows throughout the novel and realizes her mistakes and becomes slightly more humble. I would say Elizabeth is more down to earth than Emma. However, I like both characters, they're both charming in their own way.