Yes, all three current iPad mini models ship with Apple's intelligent personal assistant, Siri. There are actually no iOS products currently on the market that do not support Siri. Siri was introduced with the iPhone 4s on October 4, 2011, and added to the third-generation iPad in 2012.
Siri is available on these devices:
iPhone 4S or later
iPad 3rd generation or later
iPad mini or later
iPod touch 5th generation