My brand new MacBook Air M2, 2022 came with a 30W USB C power adapter. Does this mean I can't fast charge it at all?

Yes, that's what it means…

MacBook Air (M2, 2022)

On the MacBook Air, you can fast charge with the following combinations of power sources and cables:

• 140W USB-C Power Adapter + USB-C to MagSafe 3 Cable or USB-C charge cable
• 96W USB-C Power Adapter + USB-C to MagSafe 3 Cable or USB-C charge cable
• 67W USB-C Power Adapter + USB-C to MagSafe 3 Cable or USB-C charge cable

You're welcome.