Can the vent stack have a horizontal run to exit the building

Can the vent stack have a horizontal run to exit the building Yes as long as you maintain slope back to the fixture it's venting. However, be aware that there are conditions that you must observe if you plan to exit the house horizontally. You must turn the vent up and screen it. You may not terminate the vent within 10' of any opening. Doors, windows, AC units, etc. Let me know what you plan.
Back to you, Tom