Can i acess a serial LCD through an actual serial port (DB9) via Arduino

lk162-12 http://www.matrixorbital.com/product_info.php?products_id=73

lk202-25-v 20x2 LCD 1U HMI with RS232, TTL,USB

lcd4041 http://www.matrixorbital.ca/manuals/LCDVFD_Series/LCD_VFD_Legacy/LCD4041.pdf

I have all these matrix orbital serial displays. some can handle ttl with jumpers they are all rs-232 capable.

I am basically wondering if instead of opening the serial monitor you can just open another port that the display is using and export to that. No physical connection of the display directly to the arduino and i would be using non ttl levels this way.