This is possible but depends on which service you're using. If you're using WordPress then set the static page to which ever you like form Settings > Reading
I'm assuming, if you're using the GoCentral Store, you're not using WordPress. You can rename the home page to something else if you like, but that doesn't really give you exactly what you're looking for. Have you tried to rename it to Shop and rename Shop to something else? Perhaps the shop features would then move with it? I can't test it myself without messing up my store, but you might try that.
No, not using Wordpress. Using the pre-canned GoCentral store where you just add your products and info. Not able to remove the homepage. Was told to forward the homepage to the store page and that created an entirely new issue. Not sure if I want to try renaming, do not feel like creating more issues.