... sort of almost there... with a Peltier Cell, there is created a temperature difference between the Ceramic sides, that could easily reach a 60C difference between the plates surfaces...
One side is 'colder' or 'hotter' than the other substrate side depending on the Value and polarity of the DC applied to the Cell's wiring.
For the 'colder' side there must be airflow to dissipate that 'colder' air to the enclosure you want 'cooled'
If you managed to achieve say a 10degC breeze, then the 'hotter' side will be lets say 60degC 'hotter' than whatever the 'colder' side got down to...
This is important to realise, in that if it turned out your 'cooler' side ends up measured sitting at something higher say still at 35c, then expect the 'hotter' side substrate to be experiencing 95degC at this same time.
Peltiers are rather inefficient, and there will actually be an overall 'increase' of the total environment temperature
Peltier Cells overall must never be allowed to exceed the Max Temp specs of the particular Peltier Cell. Always keep in mind that one side of the Cell is always the approx 60degC hotter/cooler than the other relatively...
An albeit expensive demo of this would be if after the Cell has been operating for some time, and you were to swap the polarity of the Cell; that destruction can soon follow...
In practice this reperesents when you have say a peltier Esky that has a Switch for swapping between its Oven Warming Foods mode to Cooling Drinks mode... A techo description of this is that the inside plate of the Esky might have reached its 70C desired food warming temp, with the outside currently sitting at say 10decC or near depending on room temperature (assuming a 60degC difference for simplicity purposes)
NOW, if you hit the Switch, the Inside Plate currently at 70degC and is the slower surface to change temperature... concurrently the Outside plate which was initially at near room temperature, quickly jumps in temperature to restore a new 60degC difference hotter than the Inner plate... This in effect forces that outer plate to quickly approach a self destructive temperature of approx 130degC...
With a peltier device, the side of the peltier that dissipates the heat away, needs really to be fan force vented to outside of the room/enclosure you are in, rather like what is needed for a portable AC unit on wheels