Can a pitcher suffer an injury while batting?

TOP OF INNING 7
SUBSTITUTION at P: Al Worthington (role: RH Specialist)
0 S.Bando 5 Strike Out b-0 F9
1 J.Pagan 3 Fly Out b-0 F9
2 J.Aker 3 Pop Out b-0 F9
INJURY: J. Aker for 5 more games

Yes from the injury result on the pitcher's hitting card. It is not a help in determining what card you have however as he uses the same hitting card for each possible season.