Yes, the search for the Lightning Web Component is supported in the Metadata Search App.
- Go to the Metadata Search tab and toggle ON Lightning Web Components
- Enter the keyword in the search box and hit the search button
PS: View Metadata Search, Salesforce quick search app on Salesforce AppExchange: https://appexchange.salesforce.com/appxListingDetail?listingId=a0N30000009wgF7EAI