Shortly. Not yet.
Completly. Teoretically 802.11ac could have data rate around 7 gbps, which would twice enought for HDMI 1.0, but wireless communication divided by all subs, while only two 1920 x 1200 x 60 Hz just consume all bandwidth. And wireless HDMI solutions does not support pass-throught at all. So we have to... Compress!
Compressing video signal is hard work. Best codec for now is HEVC (H.265) and for now we could compress up to 1000:1, but where is also such things, as robustness to error and encoding latency. Right now best solution for trade of is Nvidia GameStream, but one is proprietary and with several limits. Anyway, GameStream produce around no-latency with perfect picture at 30-50 mbps, which would be nice at home.
If 802.11ac would work as theory. Of course, it does not. While 802.11ac divide its data rate to all subscribers around 50-100 meters and any network load would damage picture. Also, you must have good enougth transmitter becouse cheap one could not handle 100 mbps from several sources perfectly.
It meet to be bad idea to use any other from 802.11ac even if this solution use higher frequency (802.11ac use 2.4 GHz and 5 GHz, while 802.ax comes with 6 GHz). Although higher freq is higher data rate there are also much higher error rate and much lower workrange and working frequency has wide, which would be interfere with Wi-Fi or cellular.
In addition you would notice image artefacts due to H.256 is lossy and input lag due to H.256 is temporal.
There is some workaround with it. You can build mesh network on 802.11xx. Nice build making perfect signal at any location without interfere. But to do that you have to make some radio absorbers which isolate cells apart and place furniture well. It could some cost and impose restrictions to home interior.
Or you can just hold the cable. With HDMI-repeaters/splitters and DAC-ADC devices you could hold one anywhere at will with full-feature support (or not, as you wish). This is much more flexible way without any ristrictions or quality-trading issues.
Best Answer
Simply put, yes, it is possible. There are many wireless video transmission technologies. Examples are WirelessHD, WHDI, and WiGig. There are also source specific systems like AirPlay Mirroring from Apple, Google Cast from Google, Miracast from many companies, and WiDi from Intel.
Just google wireless HDMI and you can find a lot of hardware that way.