So the the A111 was designed to work with an ARMv7 as a minimum and Sparkfun uses the Raspberry Pi 3 and up to interface it with. But the SparkFun RedBoard Artemis Nano has a Cortex M4 with ARMv7E-M[, so as long as the correct pins are connected it should work?
As long as you can write the software to communicate with the A111 and you have the pins setup right, it should work. It’s not been tried before so I can’t say for sure if it will though.