Can a Transformer Have Multiple Secondary Coils?
Yes - transformers can have multiple secondary coils of various voltages.  In ancient times, for vacuum tube equipment, power transformers often had three secondaries: 5 volts for rectifier filaments, 6.3 or 12.6 volts for other tube filaments, and a high voltage coil (perhaps ~250 V) for plate supply.  The high voltage winding would usually have a center tap (connection to the center of the winding) to allow the use of a full-wave rectifier circuit.

Many transformers have dual primary coils that can be connected in series for 240 volt operation, or in parallel for 120 volt operation.

It is also possible to use transformers "backwards" - using the nominal secondary winding as a primary, and the nominal primary as a secondary.