Do the eight Gua have their five element characters? Yes, Indeed. The five element character is one of the most important characters need to be kept in mind when considering individual's balance. 
There are Eight Gua and Five elements, naturally there are certain Gua that have the same element character. In such condition, it is important to notice that they are distinguished by their individual Yin-Yang characters. 

Five element

Bagua

Metal

dui 011Dui (Yin)   qian 111Qian (Yang)
Wood xun 110 Xun (Yin) zhen 001Zhen (Yang)
Water Li 101Kan
Fire Li 101    Li
Earth kun 000Kun (Yin)   gen 100Gen (Yang)