Essentially anyone (artist, composer, producer, engineer, arranger…) can become a member of the Grammy voting panel and submit content to be considered for a Grammy. However, you can't submit anything until you are a member.
For advice and instructions about the Grammy process for independent musicians check out the CD Baby DIY Musician Blog: The Grammy Awards for Independent Musicians
CD Baby does not play a direct role in an artist's submission to the Grammy Awards, but we are the company that helps you have the distribution required to be eligible.
If you aren't already distributing your music with CD Baby you can get started here: Sign Up For CD Baby