Connecting transistors in series

A cascode amplifier is a kind of series connection where a common emitter stage drives a common base stage. Wikipedia shows a variant with multiple common base stages:

Yes that is possible but less trivial than placing them in parallel.

What you need is cascoding which is done like this:

^{simulate this circuit – Schematic created using CircuitLab}

Qsw does the actual switching

Qcasc is for dividing the voltage between the transistors

I have used this kind of circuits where I need to switch 5.5 V but are limited to using (on-chip) transistors which can only withstand 2.7 V.