As far as I know 16GB RAM sticks do not exist till now and the mini has only 2 RAM slots. So the short answer in No (That is with out considering if the chipset is able to handle the RAM)
The 2011 Mac mini only supports 16 GB RAM, and it only has two RAM slots, and 16 GB modules of 204-pin DDR3 SO-DIMM RAM is yet not available.
Maybe get an iMac, if you need 32 GB RAM.