I think the questions are:

Can I redirect the output of the PicBasic LCDOUT command to my 2-Wire LCD Interface?
(I am using an LCD module with a Hitachi 44780 controller or equivalent).

Would I have to write my own LCD routines in order to use my 2-Wire LCD Interface?
(I am using an LCD module with a Hitachi 44780 controller or equivalent).

Luciano