In a basic isocyanate reaction the temperature won't mess up the way it cures.
It might. It depends on the presence of other interfering chemicals, such as water, that may still be able to react when the wanted reaction is retarded by the cold. Water is very mobile in these systems and can reach the isocyanate groups in the mix with sufficient energy to react when the wanted reactant - the polyol - is inhibited by the cold.
The isocyanate-alcohol reaction looks like this:
R-NCO + HO-R' ==> R-ure-R'
If these molecules have two reactive groups in their structures (diisocyanates and diols) the reaction forms a long chain (a polymer):
....R'-ure-R-ure-R'-ure-R-ure-R'..
When there are more than two of the reactive groups in the structures the long chains "hitch-up" with one another forming a network (a cross linked polymer).
Isocyanates are very reactive - particularly with water (which is everywhere) - and that is a problem for shelf like. Isocyanates are also fairly nasty health wise. These problems can be reduced by making a urethane pre-polymer with other types of reactive groups
present in the molecule. (A pre-polymer is a polymer that is low molecular weight and therefore can be poured, brushed and sprayed.) Upon use, an initiator is added which starts these special groups reacting to cross link the chains. Alternatively, a special additive called a sensitizer may be included in the mix which starts the reaction when it is activated by UV light. There are countless other strategies. For coatings, these special groups usually fall into the category of "acrylic" or simple "vinyl" functionalities. They polymerize with
each other by a mechanism that is different from that of the isocyanate-polyol reaction. The initiators used in coatings that do not use radiation to cure are typically organic peroxides. These peroxides are reactive and are relatively short lived once added to the mix. If the polymer is too cold for the crosslinking reaction to proceed effectively before the peroxide is destroyed by other factors, the polymer may fail to cure altogether.
Epoxies are less tricky than urethanes in terms of water reactivity but unwanted side reactions can occur once mixed. Remember that the premixed and frozen adhesives are stored in an air-tight, water-tight tube.
Finally, many coatings (particularly water based technology) consist of a "Base-Stabilized-Emulsion". These polymers frequently have a built in organic acid functionality. Low levels of a base (usually ammonia) allow a stable suspension of these polymers in a water vehicle. Freeze the water and the emulsion breaks. Call the waste dealer.