Can I migrate my WordPress site to Shopify: 

If you have a WordPress website and want to migrate it to Shopify, https://ikonicdev.com/ there are certain parts of your site that you can migrate. These parts include your content, images, and other media as well as products if you sell them on it. There are some great plugins that will help you to do that easily.

However, you cannot totally migrate your WordPress theme to Shopify. Why?

In WordPress themes are built using PHP language. Whereas, Shopify themes are built in Liquid programming language. Furthermore, WordPress is an open-source platform and is self-hosted. While

Shopify is a closed-source platform and there will only host Shopify themes on their servers.

You might be able to get a liquid developer to build your Shopify website that looks closer to a WordPress website. This will be expensive for you. With the exception of having a totally customized Shopify website built for you, then the answer is no.