Why can't be a there be a virgin birth?
If Allah created man out of clay than thou the creator sure is capable of miracles in his created kingdom at his will.
Allah specifically mentions Jesus the son of Mary numerous times in Quran. No other prophet is mention that way because it's accepted norm everyone is mention by name of fathers.
The mention of Jesus in this specific way can only be the one reason that Allah wants to convey the message that Allah is capable of miracle at his wills.