Know that in the kenosis theory regarding the Incarnation of God to earth in person of Jesus Christ...
Jesus limited himself, not allowing to exercise his divine attributes, one of those being Omnipresence..
Know that when He was raised back to life. resurrected to a glorified Body, Jesus resumed all of his divine attributes to being fully exercised again...
BUT
Being in a Human form/body still, has he forever 'given up" so to speak His Omnipresense?
Although Jesus veiled his divinity in some ways, in others he clearly revealed it.
He controlled the elements when he calmed the Sea of Galilee.
He raised people from the dead;
he healed the sick and blind;
he knew the thoughts of men and women;
he prophesied the future.
The only thing Jesus could not do in his earthly body was to be everywhere at once.
I do not know the answer to your question about his present state.