Hi
You can in fact do that by running
apt install proxmox-kernel-<TAB><TAB>
proxmox-kernel-6.2 proxmox-kernel-6.5.11-5-pve proxmox-kernel-6.5.13-4-pve-signed-template proxmox-kernel-6.8.4-2-pve-signed
proxmox-kernel-6.2.16-10-pve proxmox-kernel-6.5.11-5-pve-signed proxmox-kernel-6.5.13-5-pve proxmox-kernel-6.8.4-2-pve-signed-template
proxmox-kernel-6.2.16-11-pve proxmox-kernel-6.5.11-5-pve-signed-template proxmox-kernel-6.5.13-5-pve-signed proxmox-kernel-6.8.4-3-pve
proxmox-kernel-6.2.16-12-pve proxmox-kernel-6.5.11-6-pve proxmox-kernel-6.5.13-5-pve-signed-template proxmox-kernel-6.8.4-3-pve-signed
proxmox-kernel-6.2.16-13-pve proxmox-kernel-6.5.11-6-pve-signed proxmox-kernel-6.5.13-6-pve proxmox-kernel-6.8.4-3-pve-signed-template
proxmox-kernel-6.2.16-14-pve proxmox-kernel-6.5.11-6-pve-signed-template proxmox-kernel-6.5.13-6-pve-signed proxmox-kernel-6.8.4-4-pve
proxmox-kernel-6.2.16-15-pve proxmox-kernel-6.5.11-7-pve proxmox-kernel-6.5.13-6-pve-signed-template proxmox-kernel-6.8.4-4-pve-signed
proxmox-kernel-6.2.16-16-pve proxmox-kernel-6.5.11-7-pve-signed proxmox-kernel-6.5.3-1-pve proxmox-kernel-6.8.4-4-pve-signed-template
proxmox-kernel-6.2.16-17-pve proxmox-kernel-6.5.11-7-pve-signed-template proxmox-kernel-6.8 proxmox-kernel-6.8.8-1-pve
proxmox-kernel-6.2.16-18-pve proxmox-kernel-6.5.11-8-pve proxmox-kernel-6.8.1-1-pve proxmox-kernel-6.8.8-1-pve-signed
proxmox-kernel-6.2.16-19-pve proxmox-kernel-6.5.11-8-pve-signed proxmox-kernel-6.8.1-1-pve-signed proxmox-kernel-6.8.8-1-pve-signed-template
proxmox-kernel-6.2.16-20-pve proxmox-kernel-6.5.11-8-pve-signed-template proxmox-kernel-6.8.1-1-pve-signed-template proxmox-kernel-6.8.8-2-pve
proxmox-kernel-6.2.16-6-pve proxmox-kernel-6.5.13-1-pve proxmox-kernel-6.8.12-1-pve proxmox-kernel-6.8.8-2-pve-signed
proxmox-kernel-6.2.16-8-pve proxmox-kernel-6.5.13-1-pve-signed proxmox-kernel-6.8.12-1-pve-signed proxmox-kernel-6.8.8-2-pve-signed-template
proxmox-kernel-6.2.16-9-pve proxmox-kernel-6.5.13-2-pve proxmox-kernel-6.8.12-1-pve-signed-template proxmox-kernel-6.8.8-3-pve
proxmox-kernel-6.5 proxmox-kernel-6.5.13-2-pve-signed proxmox-kernel-6.8.12-2-pve proxmox-kernel-6.8.8-3-pve-signed
proxmox-kernel-6.5.11-1-pve proxmox-kernel-6.5.13-2-pve-signed-template proxmox-kernel-6.8.12-2-pve-signed proxmox-kernel-6.8.8-3-pve-signed-template
proxmox-kernel-6.5.11-2-pve proxmox-kernel-6.5.13-3-pve proxmox-kernel-6.8.12-2-pve-signed-template proxmox-kernel-6.8.8-4-pve
proxmox-kernel-6.5.11-3-pve proxmox-kernel-6.5.13-3-pve-signed proxmox-kernel-6.8.4-1-pve proxmox-kernel-6.8.8-4-pve-signed
proxmox-kernel-6.5.11-4-pve proxmox-kernel-6.5.13-3-pve-signed-template proxmox-kernel-6.8.4-1-pve-signed proxmox-kernel-6.8.8-4-pve-signed-template
proxmox-kernel-6.5.11-4-pve-signed proxmox-kernel-6.5.13-4-pve proxmox-kernel-6.8.4-1-pve-signed-template proxmox-kernel-helper
proxmox-kernel-6.5.11-4-pve-signed-template proxmox-kernel-6.5.13-4-pve-signed proxmox-kernel-6.8.4-2-pve proxmox-kernel-libc-dev
And choose whatever kernel you want to.
Than, pin the kernel you want to use, like this:
proxmox-boot-tool kernel pin <kernel-version> [--next-boot]
Reboot