How to check a modified time that will differ every time

Could use some more information to understand what you mean,

But i think what you mean is to compare dates

If the date is on screen you could save that to a variable and use aqDateTime.compare,

Then to check if the date equals today compare against aqDateTime.Today.

Otherwise here is all the things TC can do with dates:

https://support.smartbear.com/testcomplete/docs/reference/program-objects/aqdatetime/methods.html 

I hope this helps.

How would I use the aqDateTime into this? 

or will I need to be using scripting instead?

I wrote this little function but you could also use code snippet,

In the next image if you save the date from the column to a variable and assign it to datum1

Then enter aqDateTime.today (as code expression) to datum2

I would also take a substring of just the date to not test the time itself, since that is down to ms it makes it hard to compare.

Basically this code checks if date1 = date 2 and returns a result

Keep in mind that the script is written in VBS, however if you check the link I send you before you should be able to get the same code in different languages

to assign a date to a var you could use 'set var value: Aliases.etc.etc.etc.date.Value  or .Text

then to get just the date and not the time use:

https://support.smartbear.com/testcomplete/docs/reference/program-objects/aqstring/substring.html?sbsearch=substring