The CommCare XForms engine supports native trigger events for default values rather than the odk specific "once" concept. In the form builder, you can use that by defining xpath expressions in the Default Value field for a question or Hidden Value.
Unfortunately there's not a particularly consistent way to build the interaction you are describing, since CommCare XForms are supported across a variety of platforms and modalities, some of which display the entire form at once. As a result, the concept of "reaching" a specific point in the form can get kind of fuzzy.
I think you might be able to create the timestamping you are describing, though, as long as your form will be used on mobile devices. On Android, the now() function by default only ever triggers once, so if you create a hidden value calculation like
if(#form/question_to_timestamp = '', '', format-date(now(), '%H:%M:%S'))
The time will be locked in when the question question_to_timestamp was answered for the first time, and I believe won't be recalculated later. I tested this quickly with the questions below (you can copy the text and paste it into the Form Builder to create the questions) and it seemed to do what I expected.
-Clayton
Form Builder clip version 1
id type labelItext:en-default labelItext:est-default labelItext:hin-default calculateAttr
/question_one Select First question answered null
/question_one/yes Choice yes yes yes null
/question8 DataBindOnly null null null if(#form/question_one = '', '', format-date(now(), '%H:%M:%S'))
/question_two Select Second question answered null
/question_two/yes Choice yes yes yes null
/question9 DataBindOnly null null null if(#form/question_two = '', '', format-date(now(), '%H:%M:%S'))