Yes, you can use a pump from a different brand in your ice machine, but there are several factors to consider to ensure compatibility and functionality. First, check the specifications of the original pump, including flow rate, pressure, voltage, and physical dimensions. The replacement pump should match these specifications to ensure it operates effectively within the ice machine's system. 
Next, consider the type of pump. Ice machines typically use either recirculating pumps or drain pumps, and it's crucial to select the correct type for your machine's needs. Additionally, ensure that the pump's materials are compatible with the ice machine's environment, particularly if it will be in contact with water or ice.
It's also important to verify the electrical connections. The replacement pump should have compatible connectors and wiring to integrate seamlessly with the existing electrical system. If the connectors differ, you may need an adapter or to modify the wiring, which should be done carefully to avoid electrical hazards.
Finally, consider the warranty and support implications. Using a non-original pump might void the warranty of your ice machine, and you may not receive support from the manufacturer if issues arise. It's advisable to consult the ice machine's manual or contact the manufacturer for guidance on using third-party components.
In summary, while using a pump from a different brand is possible, it requires careful consideration of specifications, compatibility, and potential warranty issues to ensure the ice machine operates efficiently and safely.