Posey was selected in the fourth round with the 64th pick, while Jordan was chosen with the 78th pick in the fifth round.
A late back-handed goal from Sophia Gladieux lifted the Nittany Lions to victory in the wet outing against Bucknell.
The Nittany Lions went 2-0 in the Penn State Classic after wrapping up wins over UMBC and Seton Hall.
Liam Butts posted a hat trick en route to the Nittany Lions' first conference win.
Penn State dominated Maryland Friday night after securing an early lead in its senior night win.
The Nittany Lions closed their first game of the season without finding the back of the net.