large jets straight from frozen atpl?

[Pilot16]

Hi there,

I would like to know If it is possible fly large jets such as B777 or 767 straight from a frozen atpl (with no other jet experience and type ratings with low hours such as 250-300. Or do most pilot climb from turbo props to the larger ones?
I am talking about four years time when I finished my training.

I hope I made some sense.

appreciate your time.