Is possible to get Q2 saturated with the VI voltage?
This circuit won't saturate.

The Q2 base will not be pulled lower than ground by Q1.

To reach satureation, then the collector needs to be pulled up to around -0.2 V. But because of the low value of R1, this would require about 50 A out of the collector.

However to get 50 A out of the collector would drop 50 kV across R2, which would reverse bias the b-e junction and put the device in cut-off rather than saturation.

If you want to get Q2 into saturation make R2 small and R1 large instead of vice versa. Whether that will actually make the circuit do what you actually need it to do, I can't say since you haven't explained what the actual purpose of the circuit is.