Sure, no problem. Even theoretically a living being.
The event horizon is not a solid sphere, it is simply a region of space, technically the surface of a sphere where the sphere coincides with the place where the escape velocity equals that of light.
Depending on the size of the hole, that surface may be a great distance from the center, so much so that tidal forces do not have a serious effect on anything that crosses it. A different issue is that many black holes, especially those that we can detect, have an environment of very high radiation outside of them due to the gamma rays emitted by the matter that falls inside due to the high temperatures that they reach due to friction, but if the hole is very large and there is no matter in the vicinity technically you could enter without dying in the effort
To enter, to leave nothing of course.
At least theoretically. Despite the fears of some, the closest black hole is at an immense distance, even moving quickly in our direction (which it does not) before "eating" us, life on Earth will have disappeared when the sun enters its red giant phase. On the other hand we cannot observe a black hole like the one I have mentioned at least easily. Black holes are so called because they emit absolutely nothing, they can only be detected by the matter that falls inside, by how they deflect light as it passes by them, or by some other celestial body like a star that somehow rotates with that hole. and let's see its orbit without finding any other celestial body where the companion should be.