Yes, you can integrate your current website with Shopify. Shopify provides a variety of solutions for integrating its platform with existing websites.

Buy Button: Shopify’s Buy Button functionality allows you to embed products or collections from your Shopify store into your existing website. This is an excellent option if you want to keep your existing website while simultaneously selling things through Shopify.
Custom Integration: If you want your existing website and Shopify to work together more seamlessly, you may hire a developer to establish a custom integration. This could include synchronizing inventory, customer data, and orders between your website and Shopify.

Subdomain or Custom Domain: You can create a subdomain (e.g., shop.yourdomain.com) or a custom domain for your Shopify store while keeping your current website on your primary domain. This enables you to create separate areas for your online store and other website content.
Redirects: You can point specific pages or sections of your current website to your Shopify store. For example, if you’re migrating from another e-commerce platform to Shopify, you can configure redirects from old product pages to the relevant pages on your Shopify store.
App Integrations: Shopify’s App Store contains a large number of apps and integrations that can help you link your existing website to Shopify.

These apps may enhance your Shopify store with features like pop-ups, live chat, and email marketing, all while integrating with your existing website.
Before integrating your existing website with Shopify, you should consider design consistency, user experience, and SEO consequences. Depending on your individual objectives and technical competence, you may select alternative integration options that best meet your demands.