Most definitely. I would say, note a few things as you do so: Simplify the cartoon character to make the logo easier to describe, draw, and identify.
How do I make an animated logo in Procreate?
https://www.youtube.com/watch?v=JVHOv5I0XbU
Can I create a logo on Procreate?
Despite being a drawing app first and foremost, it can handle a surprising amount of design tasks. In fact, you can even design a logo with Procreate so long as you keep your expectations within reason, and in today's tutorial I'll be demonstrating how to do just that.