Yes, if you install the Blocks add-on, you can use facets alongside the following block types, in classic and block themes:

Source/Plugin Block name
WordPress WordPress Query Loop blockQuery Loop
WordPress Posts  List blockPosts List
WordPress Latest Posts blockLatest Posts
WooCommerce WooCommerce Products (Beta) blockProducts (Beta)
GenerateBlocks GenerateBlocks Query Loop blockQuery Loop
Kadence Blocks Kadence Posts blockPosts
Stackable Stackable Posts blockPosts
Spectra Spectra Post Grid blockPost Grid
Spectra Pro Spectra Loop Builder blockLoop Builder
Otter Blocks Otter Blocks Posts blockPosts

Consequently, with this add-on installed, you can also use FacetWP with these supported blocks in .html templates in block themes.

See also