Yes, manuka honey can really help people reduce eye wrinkles. Manuka honey is made from the flowers of the manuka tree in New Zealand, which is rich in medicinal properties and is thought to have enough antimicrobial and healing qualities. So it is good enough to treat wrinkles caused by heavy drinking, smoking and excessive UV exposure and so on.
Manuka honey has lots of usages, such as resisting the bacterium, curing skin ulcer, comforting stomach, etc. And basically, it's a kind of honey, so manuka honey has the moisture usage. It can smooth our skin if you insist on drinking that.
I suggest you take vitamin pills as supplements, and eat more fruits and leafy foods in your daily life.