I am thinking that the Apostles had Jesus with them all the time, following him around, absorbing all his teachings, and watching him perform all the miracles. We don't have the Lord physically with us, but we can also follow him like the Apostles. We know that the Lord is with us as he had promised. He'd given us the Holy Spirit, our Paraclete. Especially when we receive him in the Holy Eucharist, we reaffirm our oneness with him. In a way, we are more intimate than following him around in person. As far as his teachings are concerned, the Church has it all. He is still doing miracles today among all of us. Yes, we are absolutely close to him.