Is it possible to enjoy reading a lot but hate writing or not good at it at all?

It is possible, mostly because reading and writing are separate skills. They are closely related, but reading a lot does not automatically make you a great writer (much less make you enjoy it).

Do you have to like writing, or have to be good at it? If not, then you can continue on loving reading without having to worry about being a good writer! But if you want to like it, try finding a genre or style you enjoy reading and try to emulate it. Find what you like about certain authors or stories and write just a little. It doesn’t have to be long, but write a bit every day to get used to it. Then you can start branching out into finding your own voice.