Indeed. One can offer the entire Rosary, or portions of it for whichever intention strikes your heart. We are intended to persevere, even if our petitions are not immediately answered. it is best to be open to God’s will for our lives and the lives of others. Since we, by nature (concupiscence), oppose God’s will, our prayer intentions may not be answered in the manner we desired or expected.
Just know that God writes straight using crooked lines. In other words, He knows what is best for us when we do not. Thus, our lives may have twists and turns, but through faith and perseverance, we will go from point A (where we are) to point B (where the Lord wants us to be).