Either Wordpress or Shopify would work for a life coach and it depends a bit on what you plan to sell. Without knowing much about the situation, I'll guess that you'd like to sell services.
While I typically suggest Shopify for most clients, Wordpress (with WooCommerce) may be a better fit for that situation. Shopify is primarily setup for physical products. That doesn't mean it can't be used for selling services. However, there are a lot features that you won't need in Shopify.
With Wordpress/WooCommerce, the biggest benefit would be the blogging features. Wordpress is the most popular blogging platform by far and more than likely, you'll get more out of using those features than the Shopify ecommerce features.
Shopify has a blogging platform as well and it even can be integrated with Wordpress if desired.
Before getting started, it's worth taking sometime to think about how you'll drive people to your site, what you plan to sell, and where to find your target audience.
I've setup stores on both platforms, and even run one of my own on each of Shopify and WooCommerce. There are pros and cons to both and it's certainly situation-dependent.
If you need help choosing, or taking the next step, with a Shopify or WooCoommerce shop, feel free to schedule a call.