No. Honey is not vegan. However, there are many arguments and counter-arguments on the subject matter of honey being vegan. Let me share them, in brief, to keep the focus on choosing the best honey.
Vegans try to avoid or minimize all forms of animal exploitation, including bees. For them, honey is an animal product for bees and so it is not a vegan.
The argument to the above is, milk is also an animal product much similar to honey and it is vegan.
Those who are against considering honey as vegan have an argument, milking doesn’t kill the animals but bees are often killed when extracting honey from the honeycomb.
And the argument continues…
However, as long as there is no certifying authority to classify honey as vegan, most vegans exclude honey from their diets.