Is it possible to root a device while the screen is not working?

[Android Central Question]

It is the standard Xperia XA Problem. Device doesn't have any water or physical damage. The screen is snowy, sometimes shows vertical lines and not accurately responsive upon touching. I have already used xperia companion to repair the software issue (if any) but nothing worked.
As my warranty is over and screen replacement would cost me around AU$129 for the device priced at AU$179, I am looking for other options. I am new to android customization and tweeking so asking if it is safe or even possible to root the device?

 

[Rukbat]

1. No.

2. Rooting won't be of any help in fixing the problem. The software that you "fixed" doesn't require root access.