No, there is no way to do so. The best bet is to use asset api to read the data and parse the result yourself. Also, TAE is not relevant to the Bundles topic here. You should post your question elsewhere
Topic summary
Main issue: A developer wants to detect, from their Shopify app, whether a Theme App Extension (TAE) is enabled on a merchant’s store.
Latest update: A respondent states there is no official Shopify method or API to directly retrieve TAE enablement status per store.
Workaround suggested: Use the Shopify Asset API (reads theme assets/templates) and parse the returned data to infer whether the extension’s assets or snippets are present/enabled in the theme.
Clarifications: TAE (Theme App Extension) lets apps integrate UI/components into a store’s theme. The Asset API provides access to a theme’s files, which can be inspected to detect extension-related artifacts.
Housekeeping note: The question is not relevant to the “Bundles” category; it should be posted in a more appropriate forum section.
Outcome: No built-in solution; only a manual inference approach via the Asset API was proposed. The discussion appears unresolved regarding any official support, with no further actions documented.