Can multiple IGBTs share voltage?
Yes with ... considerations.  

Can you stack them in series?  Yes especially in theory. In theory the devices in a series stack would have the same leakage (in fact no leakage) and thus share the voltage perfectly. In theory they would all switch at the same rate (in fact instantaneous switching ) and in theory the devices in the stack would receive the signal at the same time

In practice however... its a different story 

Aspects that need to be considered and mitigated


Each device does not share the same voltage. This can be improved via the use of a high-impedance resistor across each Collector-Emitter. The resistance needs to be high (Meg's). This will produce a voltage divider to help mitigate the differences in leakage and thus standoff voltage sharing concerns.
Each device will have their own switching characteristics and as such one could start switching before the others and thus the entire voltage appears across one device == BAD.  An R-D-C snubber across each collector-emitter can help produce a repeatable switching characteristic
Even if you had ideal IGBT's, the source of the signal will not be. You have a microcontroller somewhere, two independent isolators (opto's) and different propagation through each gate-drive. To mitigate this the GATE lead of each IGBT can be magnetically coupled via a CM choke to improve the gate current flowing into and out of each IGBT at the same time and rate


Have a look at this whitepaper on the topic 

http://www.scut-co.com/maindoc/techtrade/Pdevice/fuji/documents/techsupport/Multi-series%20Connection%20High-Voltage%20IGBTs.pdf