Yes, Weebly offers a free plan that includes 500 MB of storage and a weebly.com subdomain — meaning your free website will have an address like yourname.weebly.com.  The free plan has some other limitations, like no basic or advanced ecommerce features and Weebly branding on your website. But it's a great option if you're just starting out and want to test the waters with Weebly before upgrading to a paid plan.