LED strip on the I2C bus

Hello guys, Is it possible to use an LED strip on the I2C bus. Currently, I am controlling the output on the LED strip based on gyroscope values and a digital output pin. Unfortunately, project requirement is to use only 4 wires so the limitation is to use I2C bus.

Thank you in advance!!

Use an I2C I/O extender and hook the LEDs to it.