But they, supposing him to have been in the company, went a day's journey; and they sought him among [their] kinsfolk and acquaintance. And when they found him not, they turned back again to Jerusalem, seeking him. And it came to pass, that after three days they found him in the temple, sitting in the midst of the doctors, both hearing them, and asking them questions. And all that heard him were astonished at his understanding and answers.
And when they saw him, they were amazed: and his mother said unto him, Son, why hast thou thus dealt with us? behold, thy father and I have sought thee sorrowing.
And he said unto them, How is it that ye sought me? wist ye not that I must be about my Father's business?
And they understood not the saying which he spake unto them. Luke 2:41-50
As eternal God, Christ eternally receives the Spirit from the father, and He eternally sends the same Spirit of love to the Father. There never was a time when the Word, Incarnate or not, was without the Spirit.
Christ's divine nature was sufficient to guide Jesus into the desert.