the vapor pressure of ammonia and water increases with temperature. if this solution is in a metal tank in the sunlight, and the solution temperature rises, will the actual tank pressure increase with the vapor pressure?
Yes! Perry's has data on the total vapor pressure of various concentrations at various temperatures. It is not unusual for 28% NH3 solution in a tank to be at it's boiling point in the summer. That's why aqueous ammonia storage tanks should be pressure vessels.
It really depends on how the tank's venting is set up, but most likely the answer is yes. I've seen pressure vessels that "ride the bubble" and those would be in a vacuum.