Wouldn't surprise me. If anyone did it'd be her - her connection to this mess was solely through her relationship with Strzok and that ended awhile ago.
There is some speculation that there never was a sexual affair between Page and Strzok.
1. None of the emails that have been made public have hinted at anything sexual
2. Both of them are still married to their spouses
Some are speculating that the allegation of an affair was made to re-focus the public's understanding of their relationship to something non-criminal rather than collisional. It obfuscates both the frequency and the nature of their communications from an illegal coup to simple pillow-talk