Not for these chips. The Vivado licensing is kinda complex these days because it's basically segregated by the chip series rather than actual software features. But it can basically be summed up as "Free for low/mid-range devices with all features, free for people using Alveo accelerators and specific UltraScale SKUs, and pay us money for anything else."

If you can afford to buy this chip, you wouldn't be worried about the price of tools. But still the situation is much better now than it was in the past. For medium or smaller devices, Ultrascale or Zynq, everything is free, and you don't even need a license. Just install and go. AMD/Xilinx has moved towards a more standard programming environment, Github, open source embedded Linux, etc. Much less of a headache.