Each and every Mass is a veritable river of grace, having the power to help us be the saintly people God wants us to be. Nevertheless, the manner in which one prepares for Mass, and ones attitude and disposition during Mass, effects our reception of this grace. Simply put, we can do things that facilitate our reception of this grace, and we can do things that impede it.
Only God knows for sure, but I think that a person who shows up for Mass with the attitude that he just wants to get his Mass obligation done with for the week, and willfully daydreams and distracts himself during the liturgy, and then leaves prior to the final blessing does, indeed, attain some grace from the Mass. After all, despite his shortcomings and lack of enthusiasm, he still gave up some of his free time to attend Mass. If we say that he received no grace at all then there is not much to distinguish him from a non-practicing Catholic who no longer goes to Mass, and such a proposition is obviously erroneous.
But on the other hand, does such a lackluster person take full advantage of the grace that was available at the Mass? Here we can say that he didn’t. The grace of the Mass helps us to overcome sin and temptation, and to change our lives in the manner that we need to (for the sake of ourselves and our relationship with God and neighbor). So, IMO, it is possible for a person to receive some grace at Mass, but not enough for his particular needs. But the Mass is not deficient in this regard, rather, the deficiency is found with the lackluster person.
There is an axiom in metaphysics which states that a thing is received according to the mode of the receiver. For example, two people can be attempting to collect rainwater in the same downpour, but the person who chose to bring a rain barrel will collect more than a person who chose to bring a thimble. In this example, the downpour of water represents the outpouring of grace, while the rain barrel and the thimble represent how one conditions his heart, mind and soul to be open to the reception of the grace.