I have an SolaX X1 Hybrid 6.0-D with 5.8 kwh battery, I would like to connect a generator into the system, so I can charge the battery during a power outage, is this possible with this system?

Yes, please refer to this link: https://kb.solaxpower.com/solution/detail/2c9fa4148c5d7120018c6b3a56bb00b8