Noooo!!! MySQL Do not like it one bit. So I had to revert to the docs and there it was:
The DEFAULT clause specifies a default value for a column. With one exception, the default value must be a constant; it cannot be a function or an expression. This means, for example, that you cannot set the default for a date column to be the value of a function such as NOW() or CURRENT_DATE. The exception is that you can specify CURRENT_TIMESTAMP as the default for a TIMESTAMP column.
So please take note on this issue if you just spend 20 minutes like me, trying to figure it out.
Hope this helps.