Yes, the Smart Wi-Fi LED Multicolor bulb, which is the one that does not require a hub, can have its color changed automatically.
If you are unsure if you have the Smart Wi-Fi LED Multicolor bulb, check the M/N (model number) of the bulb as it appears on the side of the bulb. The model number of the Smart Wi-Fi LED Multicolor bulb is W11-N13.
Here is one way on how to do that:
Open the Sengled Home app; tap on the "Devices" tab.
From here, select the bulb in question; in this example, we named the Smart Wi-Fi LED Multicolor bulb, "Wi-Fi Color Bulb".
Once the correct bulb has been selected, scroll down and tap on "Neon". This will make the bulb automatically cycle through colors.