No, you can only apply for a trademark or copyright.

Appearance design refers to a new design that is aesthetically pleasing and suitable for industrial applications based on the shape, pattern, or combination of the product, as well as the combination of color, shape, and pattern. It can be seen that a design patent should meet the following requirements:

(1) It refers to the design of shape, pattern, color or their combination;

(2) It must be made on the appearance of the product The design;

(3) must be aesthetically pleasing;

(4) must be suitable for industrial applications.

The LOGO you designed should not belong to (2)