AE86 20V ST water routing

[pjcp01]

Hi all

I have a

-1985 Corolla Levin Ae86 with

-20V ST, W55 gear box, un-modified fire wall, alloy radiator

Question: can I run water lines from the factory water outlets from the back, under the throttles to the radiator?

thinking about using braided hoses and fittings.

Currently the water goes in through back of water pump, and out the outlet just above the water pump.