Chromium browser does not give an graphic interface where user can create a second profile, but you can do it from command line by giving it option --user-data-dir, for example

chromium-browser --user-data-dir='~/.config/chromium2'

In Ubuntu or Debian system the default user-data-dir for Chromium browser is ~/.config/chromium

You can also add another launcher to panel besides the original Chromium Browser Icon, and modify the command property to

/usr/bin/chromium-browser --user-data-dir='.config/chromium2' %U