surprisingly yes.
But not with silicone or any adhesive material
The cooler is a polypropylene or polyethylene. These are petro chem polymers. And as such they constantly give off an oily film. You can flash it off with a hydrogen flame or an E-beam Rastering gun and then if you are quick some adhesives will take but generally adhesives and propylene and ethelyne don't get along.
What I have done with pretty good success is to weld these plastics. Industrial plastics welding uses a heated inert gas to exclude Oxygen and carry the heat the process involves a filler rod of the same polymer. The heated gas melts the plastic and VIOLA you get a weld.
I do it with a propane torch a couple pieces of steel ( any metal will do) and some filler material. The Oxygen seems not to be much of an issue.
Heat a piece of steel and lay the filler material on it you want it hot enough to soften the plastic not make it flow cause you are going to have to pick it up and handle it.
Heat a piece of steel (the head of a big nail will do) that you can hold with pliers.
Apply the steel to the polymer to be repaired. Melt it so it's squishy.
Quick, like a bunny, transfer the filler material all soft and squishy to the molten surface of the repair area on the vessel.
Press the pieces together and VIOLA you have welded the vessel.
IT takes a few minutes.
I did this most recently to a poly 5 gallon Gas jerry. I slipped with my chain saw and took a chink out of it.
I patched it this way and it's been some years that it's been as good as gold. At first I was afraid to fill it up to the patch, but now I just fill the damn can up no worries.