Yes, it is certainly possible. You may not get such good regulation due to the lower gain (depending on how many transistors you use). This is not what you want but might give you an idea. It is high voltage power supply I have designed and used before. The input is at the top left, the output top right. The voltage on Q5 base sets the output voltage based on the R2/R3 potential divider.
You could leave out Q3/R1 - they are for a current limit. R6/C2 is for compensation, for stability. I seem to remember it controlled around 300V from a low voltage on Q5 base (less than 5V).
Keith.