Hello,
Yes, It is possible to do this on Kinetis, you have to write to NVIC's registers, in KDS IDE you can put a pending interrupt with the instruction NVIC_SetPendingIRQ(IRQn_Type IRQn) where IRQn is your Interrupt vector.

This is specify in the ARM documentation (www.arm.com), you can check the Technical Reference Manual for Cortex-M4 or Cortex-M0+, I don’t know what device you are using.
Note that as you are using a “NVIC set pending” there is not flag and you just have to clear the pending in the NVIC registers.
Hope this helps!
Regards,
Isaac