Can I apply for a patent for rattan woven products? If I knit a cat, if I can apply successfully, can others not knit a cat?

It depends on what patent you are applying for. For example, ignoring novelty and creativity:

1. Apply for an invention patent: a method for producing XXX products from rattan core.

Then, after the patent is granted, others can't use the method in your patent to design the product (even if the shape is different).

2. Apply for design: a toy cat

Then, after the patent is granted, others can't produce the woven cat in your patent, but if the appearance produced by others is obviously different, there is no infringement.