Yes the same can be made.
But it is always advised that there is a revocation clause on the POA.
Irrevocable powers of attorney are relatively rare, though, because they essentially operate like any other power of attorney, but are not unilaterally revocable by the principal. An irrevocable power of attorney can have a sunset provision, ending the assignment on a particular date or condition, but remains irrevocable until that time unless the parties agree to terminate.
You may read in detail at the following link:
http://www.manupatrafast.in/NewsletterArchives/listing/Hariani/2015/Sep/Death%20of%20a%20Donor%20of%20an%20Irrevocable%20Power%20of%20Attorney-Effect.pdf
Regards