Strictly by RAW, not possible. You can split your dice pool to attack multiple targets, but there is nothing about attacking the same target multiple times. Normal melee combat actually assumes that as the norm: "Rather than a single blow, each attack is a series of moves and counter-moves executed by those involved." (SR4, pg. 146)
That said, allowing someone to split their dice pool to attack the same target twice (essentially sacrificing accuracy for speed) would not be an unbalancing or unreasonable house rule.