The PL19 has only been tested to about 300 miles, a big difference between that and 11,000+. Not going to be easy (or even possible) to increase the range by 40X.
And if they had directed energy weapons that would reach that high, you'd think they'd also be using them to take out all the Ukrainian drones and planes flying around.
It’s possible they could put the PL19 on top of one of their larger rockets - the PL-19 carrier missile wasn’t exactly their largest or longest ranged.
The type of directed energy weapon you’d need for that tends to live in large compounds and weapons complexes and isn’t generally mobile, not least due to the power requirements. Pretty sure any Ukranian theater vehicles are going to be over the horizon from any surface facility like that.