Not really. Flutter has its own layout rendering engine, and uses low level APIs in the browser to circumvent the default rendering. This is what allows Flutter to do, say, efficient table views on the web, which is kind of a holy grail of web rendering.
SwiftWebUI currently seems to rely on normal rendering:
> SwiftWebUI tries to replicate common SwiftUI layouts, but doesn’t fully succeed yet. After all it has to deal with the layout system the browser provides. Help wanted, flexbox experts welcome!