No. You need to deal with the overstuffed panel somehow.
And by "you" I mean either an electrician... or you after tossing away your electronic-design mindset, thoroughly digesting a book on home electrical, and asking some questions here on the DIY stack. You can't google knowledge like that, google only answers questions and you need a well rounded primer on the subject to even know which questions to ask.
Assuming we get past the initial formalities like dangerous FPE or Zinsco brands, dodgy Challengers and odd-layout hard-to-procure Pushmatics, and you have a workable panel... Then we can have a conversation about the service you have, how to rearrange what you have to get the spaces you need, whether you should be doing a subpanel, and how to provision the breaker you need.
By the way, this problem is typical of "Craigslist finds" - the reason the thing was cheap on Craigslist is the other fella was having trouble powering it too and never even ran it to test. Craigslist is glutted with 3-phase tools for that reason.
However given the power hunger of this saw, 240V single-phase (it is single-phase? Right?) is the right type of power to use. 9.6 amp is well within the working range of a 240V@15A circuit, cake for a 240V/20A circuit. But even if it could be jumpered for 120V, it would be 19.2A which is really kissing the limits for a 20A circuit. Got a 30A circuit anywhere? Dryer? (If so let's talk about that one, dryer circuits can be weirdly lethal.)