Can I install Ubuntu 20.04 on a system running Intel Alder Lake architecture

You can and I do run Ubuntu 20.04 on my Alder Lake system. As the kernel is unaware of the hybrid cores it does not run as fast as it can. But as soon as they have a kernel that does, I will upgrade mine to that kernel and re-run the benchmarks.

            .-/+oossssoo+/-.               damien@development 
        `:+ssssssssssssssssss+:`           ------------------ 
      -+ssssssssssssssssssyyssss+-         OS: Ubuntu 20.04.3 LTS x86_64 
    .ossssssssssssssssssdMMMNysssso.       Host: Z690 UD DDR4 
   /ssssssssssshdmmNNmmyNMMMMhssssss/      Kernel: 5.4.0-91-generic 
  +ssssssssshmydMMMMMMMNddddyssssssss+     Uptime: 41 mins 
 /sssssssshNMMMyhhyyyyhmNMMMNhssssssss/    Packages: 4193 (dpkg), 16 (snap) 
.ssssssssdMMMNhsssssssssshNMMMdssssssss.   Shell: bash 5.0.17 
+sssshhhyNMMNyssssssssssssyNMMMysssssss+   Resolution: 2560x1440, 2560x1440 
ossyNMMMNyMMhsssssssssssssshmmmhssssssso   DE: Cinnamon 
ossyNMMMNyMMhsssssssssssssshmmmhssssssso   WM: Mutter (Muffin) 
+sssshhhyNMMNyssssssssssssyNMMMysssssss+   WM Theme: (Default) 
.ssssssssdMMMNhsssssssssshNMMMdssssssss.   Theme: Adwaita [GTK2/3] 
 /sssssssshNMMMyhhyyyyhdNMMMNhssssssss/    Icons: gnome [GTK2/3] 
  +sssssssssdmydMMMMMMMMddddyssssssss+     Terminal: terminator 
   /ssssssssssshdmNNNNmyNMMMMhssssss/      CPU: 12th Gen Intel i9-12900KF(24)  
    .ossssssssssssssssssdMMMNysssso.       GPU: NVIDIA GeForce RTX 2070 
      -+sssssssssssssssssyyyssss+-         GPU: NVIDIA GeForce GT 730 
        `:+ssssssssssssssssss+:`           Memory: 9739MiB / 31953MiB 
            .-/+oossssoo+/-.