Do all switching converter ICs support multiple topologies?
An SMPS controller1 IC may support multiple converter topologies.  But a single IC almost never supports all common converter types.  

There is a family of converters derived from boost converter: flyback, SEPIC, boost proper.  A controller that can do boost, usually can do the rest of the boost family too.  Usually, one controller can't do both buck family and boost family.

1  SMPS controller IC drives external power switches.  SMPS converter IC has power switches on board.  Converter ICs tend to be less versatile than controllers.