To answer the main question, yes there are, the typical Chinese market places are flooded with these nozzles nowadays, these are less well manufactured than the original BondTech CHT MK8 (coated) nozzles you can find in decent 3D printer shops.
Simply search for "CHT MK8 nozzle" and you get a list to order from in various sizes, including the requested 0.6 mm.
Image of a typical cloned MK8 CHT nozzle:

Image of an original E3D v6 CHT nozzle:

Do note the quality differences, the original are superior machines apposed to the clones, look at the pattern of the inner 3 bore holes, the original is much closer together so that the filament flows directly into the 3 holes (almost 1 big hole in fact) whereas for the clones the 3 bore holes are apart causing the filament to hit a wall (center piece) and needs to be diverted to the outer 3 holes.
... E3DV6 CHT nozzles, do they fit on a stock Ender 3 V2 hotend or do I need a specific E3D hotend...
Looking at the dimensions below, you see that the threads are identical (both M6x1), but the overall length is 0.5 mm shorter for the E3D v6, so this should match. This reference tells us that the nozzles are interchangeable:
For the [Creality] MK8 nozzle, it [red. i.e. the E3D v6 nozzle] will be compatible with 3D printers that use [Creality] MK8 hotends. [Creality] MK8 nozzles are incompatible with the V6 ecosystem.
The E3D v6 will work on the MK8 because they are longer from the threads to the base of the hexagonal nut, therefore MK8 will not work in an E3D v6 hotend, they are too short. You cannot screw in the MK8 far enough into E3D v6 far enough, the base of the hexagonal nut will touch the heater block and leaves a space between the nozzle and the heat break. If these aren't sufficiently tightened together, the heat block may leak and the cavity is detrimental for retraction performance.
Information on the dimension of the different nozzles
Creality MK8 dimensions:

E3D v6 dimensions:
