No, they are displayed alphabetically. You can use numbers, letters, symbols, or spaces at the start of your group names however.
Example:
A. Trade
B. Growing
C. Favourites
etc.
1. Trades
2. Growing
3. Favourites
etc.
.. Trades
... Growing
.... Favourites
etc.
If you add spaces at the start of your group names, the spaces won't show up, but whichever group has more spaces will appear higher than one with less spaces.