Hi @LucaP,
Imho, short answer is no!
Long answer …
There are ways to hook into JFrame and add ie. a JEditorPane which displays the website, but only up to HTML3.2 which is imho not what you want and far from use the embedded website interactively.
There are also other libraries on the market based on Swing but it would be either licensed and/or needs a lot of background knowledge to other stuff and different for each OS.
Cheers
— mnse