As of today I could not Access my "Google Chrome Bookmarks" online without Chrome but there is a way around it.
The basic idea is you download a .html file containing your chrome bookmarks from google's database. Here is a step by step instructions that is valid now but google might modify the process and in that case look for a way to export your data from google. During export select only your Chrome Bookmarks.
- Goto https://takeout.google.com/
- Select only "Chrome"
- Click "All Chrome data included" and select only "Bookmarks"
- Click "Next step"
- Select Delivery method e.g. "Send download link via email", "Export once", .zip, 1GB
- Click "Create export"
- Now in this stage you should be able to download directly or use the link you received by email to download a .zip file, which contains a file named "Bookmarks.html".
You can now use "bookmarks.html" file to import bookmarks in other browser, which you currently have access, to import chrome bookmarks.
Keep in mind https://www.google.com/bookmarks/ is different from the bookmarks you have in your chrome browser.