These days, launching your website/online store is easy with website builder software like the ones by Weebly, GoDaddy, and Leadpages. Although WordPress is still easy to handle with readymade plugins and themes (you need no programming knowledge), website builders are easier despite perhaps limited functionalities compared to the huge user and developer base on WordPress.
Both with Weebly and GoDaddy, you can start free and have a functional website though with limitations such as the inability to connect with a custom domain name. Leadpages do not have a free plan but offers 14-day free trial.
Leadpage started as a landing page builder for your service/offer/online store but now has an entire tool that qualifies as a website builder. It is doubtful if Leadpages can work as a website builder for your e-store in a sense that payment gateways and other features inherent to e-commerce being present. At best, it can work as an excellent landing page for your e-store. Website builder by Weebly and GoDaddy, on the other hand, is designed to work as an e-store as well.