Not directly, since your Jeep's air conditioning and engine cooling systems use separate fluids and components. But a coolant leak severe enough to cause overheating can indirectly affect AC performance, and a leaking heater core, which is part of the coolant system, can sometimes be mistaken for an AC problem since both affect cabin air temperature.
It helps to understand that these are genuinely two different systems doing different jobs. Engine coolant runs through the radiator, water pump, and hoses to manage engine temperature. At the same time, your air conditioning relies on refrigerant, a compressor, and a condenser to cool the cabin air. A coolant leak, even a significant one, doesn't drain or affect your AC refrigerant, so it shouldn't be the direct cause of your AC blowing warm.
The two can interact when overheating becomes severe enough to affect the engine's overall performance, including how well the AC compressor runs, or when a Jeep overheats badly enough that many systems start behaving oddly at once. This is a less common and more extreme scenario than most day-to-day AC complaints, though.
The more likely mix-up happens with the heater core specifically. A leaking heater core is part of your coolant system and can cause warm, humid, or oddly scented air to blow through your vents, which some drivers mistake for an AC problem because the air isn't cooling the cabin as they expect. In reality, the heater core issue and an actual AC refrigerant problem require completely different repairs, so it matters which one is actually happening before any work begins.
If your AC isn't blowing cold and you've also noticed a sweet smell or a coolant leak, it's worth having both systems checked together rather than assuming they're connected or unrelated. Hoover Street Auto Repair in Ann Arbor can diagnose whether you're dealing with a refrigerant issue, a heater core leak, or both, so you're not paying for the wrong repair.