No it doesn’t out of the box. Yes, now it does (read edits below) !
However, a bunch of DIY Mods die hard fans managed to build workable bluetoooth footswitch for the Spark.
Head over to Facebook Group called Sparks Amp Mods
Edit (05/21 2020): Xsonic Audio announced the Spark Edition of their Airstep footswitch.
Read more on this new footswitch to wirelessly control your Spark.
Edit (04/29 2020): it looks like the Airstep footswitch from Xsonic Audio now supports the Spark (in Beta). More information here.