Yes.
They now issue eVisas, so she will have a letter she has to carry with her passport at all times (as well as its being on record in the INZ computer). After she's got that, if she would rather have a label in her passport, she can apply for it separately.
As with everything else, INZ deals with this bit of the process after a date-order queue, so how long it will take depends on how busy that department happens to be, and how many get there just before hers. I think someone was saying recently theirs had been three or four weeks, but it CAN be much quicker.