Yes — GTA 6 on PS5 is tied to your PlayStation Network account, not to the console itself, so you can use it on another PS5.

How it works:

• Any PS5 you sign in on: You can log into your PSN account on a second PS5, download GTA 6 from your library, and play it there. Your license follows your account.
• One "activated" PS5 at a time: The setting "Console Sharing and Offline Play" (Settings → Users and Accounts → Other) designates one PS5 as your primary console. On that console, all profiles can play your games, even offline. If you move to a new PS5 permanently, you deactivate the old one and activate the new one (remote deactivation is possible once every 6 months if you no longer have the old console).
• No account-to-account transfer: The game can't be permanently gifted or transferred to someone else's PSN account — the license stays with yours.
• Physical edition note: The retail box contains a download code, not a disc — once redeemed, it behaves exactly like a digital purchase tied to your account.

So if you're replacing or borrowing a different PS5, you're fine: just sign in with your account and re-download the game (saves can also transfer via cloud sync or the console-to-console data transfer tool). What you can't do is play it on two PS5s simultaneously under different accounts, or move the ownership to another person. (GTA6Home, GTA 6 France)