Is it possible for an Indian national to enter Thailand with the new work visa process?

Yes you can

If it is a legally registered company that has the ability to get another work permit for you, and sends you a letter verifying they will hire you, then yes, after you also get insurance that covers US$100,000 for covid-19 virus, a quarantine hotel booked, as you are required to do 14 days in quarantine, at your expense, as soon as you get here, and have a flight booked, and a fit to fly clearance, and a covid-19 test done no longer than 72 hours before you fly.

If you have an employer then you can apply for a non-B via a Thai Embassy