Nope, unemployment insurance lasts for 2 years. And requires you to:
(a) pay membership fees, and,
(b) be actively looking for a job.
They'll give you some flexibility, so you might not have to accept the first job.
If you're not a member or two years are up options are: join and work to regain coverage, work for something around a year or so -- lots of special cases.
Or get unemployment benefits from government. Much less ~1400 USD, requires lots of activities like hunting for jobs, and not have assets exceeding ~10k USD.