Yes to open and view, but unlikely to successfully edit.
Bike files are just .html files with a specific structure and a different file extension. If you want you can change the file extension of a .bike file to .html and then continue to edit it with Bike. I recommend trying this. Once you’ve changed the file extension then you can drag and drop the file to Safari to view the outline as a web page.
The view in a browser is functional, though with some rough edges. There is some discussion here on how to improve that look with a better css file.
You could also save this .html (Bike) file to iCloud and I think you should be able to just open directly on iOS, though I haven’t actually tried.