Can a Catholic marry an Orthodox Jewish woman?

Secular Answer

Of course they can, and many people do. Some Reform Rabbis and Catholic Priests will perform joint wedding ceremonies. However, many Jews and Catholics believe that such marriages should not be performed because they believe in marrying within their religion to ensure that the children will be raised in that tradition. Jewish men face the additional hurdle that, except in some Liberal congregations, the child of a Jewish man and a non-Jewish woman is automatically considered to be non-Jewish regardless of upbringing.

Religious Answer

He is physically capable, but prevented by his religion. Both Judaism and Catholicism prohibit it.