Technically, no. The Terms of Conditions of the Hilton Honors program state:

"To earn Hilton Honors Points or credit toward tier status for hotel stays, a Member must be a registered, paying and staying guest at a participating hotel within the Hilton Portfolio and meet all of the conditions described herein."
Source: https://www.hilton.com/en/hilton-honors/terms/

In practice, a lot of hotels will have no problem issuing points in this scenario because the elite-level member is staying in the room. But, you really won't know if she'll get the points/stay credit until after the stay. So, it's a bit of a gamble.

And to make matters more murky, you can't always trust a Front Desk Representative. That person might tell you it's fine without knowing that the Night Auditor will be running a report that identifies mismatches between the guest name and the credit card name in order to deny points. (Not every hotel will check. I worked at a hotel where we absolutely did not care and another that did everything to minimize costs like providing frequent guest points.)

Unless it's a huge burden, I'd strongly recommend letting your wife pay the bill.