I'm using LuCI openwrt-23.05 branch (git-24.086.45142-09d5a38) / OpenWrt 23.05.4 (r24012-d8dd03c46f) and I cannot update lists of the available software.
root@OpenWrt:~# wget -v https://archive.openwrt.org/releases/23.05.4/tar
gets/ipq40xx/generic/packages/Packages.gz
https://archive.openwrt.org/releases/23.05.4/targets/ipq40xx/generic/packages/Packages.gz: HTTPS support not compiled in.
Go to the web UI of System->Software and search for "wget" in the installed software.
Are there both currently installed, wget-ssl and wget-nossl?
If yes => remove wget-nossl. If there are other packages preventing this: Those are on you, and you need to decide if you'd rather have those or the package manager.
If not => Prepare for a manual download of the wget-ssl package. You can download that package to your computer and scp it to your OpenWRT.
But before doing anything, maybe find out why you have no wget-nossl in the first place? That one always comes with stock OpenWRT and I can't think of a single reason from the top of my head for using wget-nossl.
I'd recommend finding the proper wget package first and remove the wget-nossl after.