No. Internet Explorer has no Linux version, and Microsoft retired it on Windows too in June 2022, so there is nothing to move across. Any modern browser replaces it.
Internet Explorer by Microsoft · Web browsers · No way to run it
Microsoft ended support for the Internet Explorer 11 desktop application on 15 June 2022 and pointed everyone
at Microsoft Edge. It was never released for Linux at any point in its life.
This is not a loss. Firefox, Chrome, Edge and Vivaldi all have proper Linux versions, and most Linux systems
come with Firefox already installed when you first log in. Whichever you pick will render modern websites
better than Internet Explorer did in its last years.
Bring your favourites with you. Export bookmarks from the browser you use on Windows into an HTML file, copy
that file across and import it on the other side. If you were signed into Edge or Chrome with an account, your
bookmarks and passwords sync on their own once you sign in on Linux.
One thing does not transfer. A handful of old business and government systems still need Internet Explorer's
rendering, which Microsoft keeps alive as IE mode inside Edge on Windows, supported through at least 2029. IE
mode does not exist in Edge for Linux. If your bank or your employer still insists on it, keep a Windows
machine or a Windows virtual machine for that one site.
The same browser as on Windows. Sign in with your Google account and everything appears.
Your files: Imports bookmarks from an exported HTML file or syncs them through your Google account.
This doesn't have to stop you
One stubborn program doesn't have to decide the whole question. You can keep Windows on the same PC and restart into it only when you need Internet Explorer. Everything else you do can move.