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Only if the RV manufacturer has supplied a separate circuit for a second air conditioner. If you have two air conditioners in your motor home, only one will operate while plugged into commercial shore power. By the NFPA code you cannot connect both power sources, generator power and commercial shore power, together.
Motor home electrical systems are designed to separate these two power sources. However, with your comfort and needs in mind, your RV manufacturer may have wired the motor home to allow you to power your second air conditioner with your RV generator. Check your vehicle operator manual.