Yes - but those two rows have to be in different category blocks.
I label the category blocks like this:
AB AC AD
So if you have two rows like you have shown with one of the rows in AB and the other in DB, then you know that a particular AD combination cannot be true.
For example, if the top row in your post was the intersection of Monday with First Names, and the bottom row was the intersection of bubble gum with First Names, then you know that Monday cannot be bubble gum.
For the tougher puzzles, you will have to use things like this to place an X that pops the whole thing loose.
This example focused on rows. The same principle applies to columns.