Yes, Abyssinian cats can be litter box trained. Like all cats, they have a natural instinct to bury their waste, making litter box training relatively easy. However, some individual cats may require extra patience and effort, especially if they have been previously mistreated or have had negative experiences with litter boxes.

Here are some tips to help you litter box train your Abyssinian cat:

1. Location, location, location: Choose a quiet, easily accessible location for the litter box. Avoid placing it near the cat’s food and water bowls or near noisy appliances such as washing machines or dryers.
2. Size matters: Choose a litter box that is large enough for your cat to comfortably turn around in. Cats prefer a little extra room to move around, and this can help prevent accidents outside the box.
3. Litter type: Experiment with different types of litter to see which your cat prefers. Most cats prefer unscented, clumping litter, but some may prefer other types, such as recycled paper or silica gel.
4. Cleanliness is key: Clean the litter box daily and change the litter completely at least once a week. Cats are very clean animals, and a dirty litter box can be a deterrent to using it.
5. Gradual transition: If you are switching from a different type of litter, do it gradually to avoid any stress or confusion for your cat. Mix the old and new litter together, gradually increasing the amount of new litter until you have fully switched.
6. Multiple boxes: It is recommended to have one more litter box than the number of cats you have. So, if you have two cats, you should have three litter boxes. This ensures that each cat has access to a clean box and reduces the likelihood of accidents outside the box.
7. Positive reinforcement: Reward your cat with treats and affection when they use the litter box. This reinforces the positive behavior and can encourage continued use of the litter box.

Litter box training is a process, and some cats may take longer than others to become fully trained. Be patient and persistent, and always provide a clean and inviting litter box for your cat. If you encounter any persistent problems, such as repeated accidents outside the litter box, it is a good idea to consult a veterinarian to rule out any underlying medical conditions.