No?

I've never been on zero months notice. A reduced notice period for probation yes, but never on no notice.

But the point remains that the company can terminate you with very little cause and very little notice when you've just started. So while it is a good idea to wait until at least receiving a signed contract before giving notice to your current job you'll still be at higher risk for some time.

In the first MONTH of employment either side can terminate with immediate notice

1 month - 2 years is 1 week notice

After 2 years it’s one week for every year of employment with a cap of 12 weeks

That’s notice period, after the first month of service other employee rights kick in and grounds for “instant dismissal” become ridiculously strict.

Meaning after the first month, if your performance becomes substandard or interpersonal problems arise you have to be given written notice by your employer (usually 2) and roadmap for correction agreed by all parties after which termination of position can be delivered (which includes the week(s) of notice to which you are entitled, or payment in lieu if you are asked not to come back.