Yeah lots... and it seems to vary yr to yr. Season 1 I went 4-12 because for atleast 10 weeks of the yr I had RGIII, Alfred Morris and Garcon injured at same time...
Yr 2 wasn't too bad, costantly had 2-3 injured players every game but it was basically one of my rookies who is injury prone, and I also added Yeremiah Bell that year as a strong FA pickup.... he played in 3 of my 19 games that year. Injured the rest.
This year is bad, however. In week 1 my backup MLB got injured, so on kickoffs Ryan Kerrigan filled in for him. That one play Kerrigan get injured, out 7 weeks. I'm also down that same yr 2 rookie again hes out for 5 weeks, I have about 6 injruies total but thats ok because im sure every NFL team does at some point during the year.
Most teams have between 2-7 players on their injury list.