Yes. Rene Descartes said: 'I think therefore I am'. If you have consciousness you exist.
No. All that you can experience, all that can be experienced is not technically experienced but though senses of which five of them we all know (technically there are twenty-one). David Hume, inventing bundle theory, said that if you imagine an Apple you imaging something green, 100mm in diameter and tasty (or Words to that effect). There is no Apple, meanly the properties of the Apple. Therefore, nothing exists as the Apple does not. Hence/ergo, nobody can be the Apple in the eye as there is not an Apple or an eye. So, you do not exist except as a coincidental clash of information which can be received in many ways, which makes it perfectly true when people tell that life is what you make it, although technically there can no life and no you to experience it.