Yes, using our Apple Shortcut. Once installed, you can shorten any link in three ways: tap the share icon in Safari while browsing a page, say "Hey Siri, Shorten Link" after copying a URL, or long-press any link in any app, tap Share, and choose "Shorten Link."
In every case, the short link is created in your account and copied straight to your clipboard, ready to paste, no need to open a browser or app first.