My understanding is no, if I understand what people mean by systolic arrays.
GreenArray processors are complete computers with their own memory and running their own software. The GA144 chip has 144 independently programmable computers with 64 words of memory each. You program each of them, including external I/O and routing between them, and then you run the chip as a cluster of computers.
Reminds me a bit of the Parallax Propeller chip.
TIL about the Parallax Propeller. Yes, it does seem very similar to the GreenArrays GA144, complete with an idiosyncratic language and IDE.
One distinction of the GreenArrays chip is that they claim it is very energy-efficient.