First of all, it is, as you say, a high tension with high risks.
Should the 200Vdc voltage have to be adjustable? If yes, how much?
What is the ripple allowed to 5A?
What is the requested regulation?
What is the grounding scheme? Should the 200Vdc be grounded? If yes, the + or -?
To answer your question,
"Can I connect 4 smps in series to make 200vdc / 5A?"
No, because the last power supply will have a potential of 150V with respect to earth, this is not acceptable with respect to the case that must be earthed, or with respect to the insulation of the ferrite transformer.