Mostly no. Standard search ads require a landing page, and sending paid clicks to a Facebook page or a bare GBP listing wastes them even where it's technically possible. The exceptions: Local Services Ads (which run off your verified profile, not a website) and call-focused formats.
The honest advice: a one-page site with your offer, proof, and a form costs less than one month of decent ad spend and multiplies the value of every click forever. Running ads without one is paying full price for traffic you can't convert or measure.
If speed matters more than polish, launch the one-pager first and improve it with real ad traffic data. That beats waiting months for a perfect site.