There is a way to shorten the URL. Shoot me a message and I'll do a video showing you how to do it.
Cal here from Shopify, thanks for reaching out to us. I'm not sure what link you are referring to? Were you intending to link us to your site? You didn't include a link.
You can definitely shorten links on your page, but I'd need an idea of what type of link you're referring to first.
Is your store new? How has the site-building been going so far?
Ah, I think I understand. Are you looking to register your own domain? So have your own .com web address for example?
If this is the case, you can purchase domains through Shopify here! I do agree that every business needs its own domain, so when you've decided 100% on your business name you should definitely consider investing in one.