The answer is yes and no.
Can you vent a gas furnace through a wall.
These ventilation pipes should be isolated from the furnace combustion chamber and made airtight to eliminate the possibility of combustion gas leakage.
Proper sidewall venting requires installing separate vent pipes horizontally so that they vent to the outdoors through a wall of your home.
I believe high efficiency furnances must be vented horizontally through a wall.
Gas furnaces usually come with their own specifications.
The diameter of the vent pipe should always be larger than that of the gas furnace flue ensuring that no gas escapes from the pipe.
You can go through the wall then run a vent pipe straight up above the roofline.
An 80 efficient furnace can be side wall vented per national fuel as code 7 3 4 with the use of a mechanical draft system of either forced or induced draft design.
Distances pertaining to the furnace combustion air intake and exhaust vent distances from the indoor furnace cabinet itself and nearby surfaces materials or combustibles.
When installing a direct vent wall furnace there will be two sets of clearance distances that must be respected.
I would be very leary of a hvac contractor would not do this.
Only units designed for it can have a vent go thru the wall and end there without a vertical stack.
I have not heard of high efficieny only lasting 10 13 years.
You cannot just take the vent off an 80 efficient furnace and run it out a side wall.
The exhaust gas is too cool for it to rise.
Adhere to them even if you are building the vent on your own.