When you say a "page" what do you actually mean?
If referring to a tabbed control then sure, Test Complete should be able to see an object that exists on page 2, even though page 1 is the current page.
If you look closely at what you have written, you can see the full reference to the object that Test Complete is working with,
Aliases.browser.pagetest.objecttest.test...
It doesn't matter that a user can't see it on the screen. As long as the object actually exists then Test Complete can identify it. Sometimes objects don't always exist on other tabs until that tab is selected for the first time. In which case Test Complete will not be able to identify the object.
