Tap the menu icon (3 dots in the upper right-hand corner) and tap Add to the home screen.
Choose a name for the website shortcut, and then Chrome will add it to your home screen.
On iPhone or iPad:
Tap the Share icon (the square with an arrow pointing out of it) at the bottom of the screen.
Scroll down to the list of actions and tap Add to Home Screen. (If you don't see the action, scroll to the bottom and tap Edit Actions, then tap Add next to the Add to Home Screen action. After that, you'll be able to select it from the Share Sheet.)