Not as likely, but still possible.
For example, conventional wisdom regarding healthy shoulders is 'don't bench, press overhead, and balance presses with pulls'. Well, I never bench, and basically only press overhead, but have massive internal rotation of my shoulders from my pullup obsession over the past 6 years or so. I've started doing regular rotator cuff work and shoulder mobility stuff and it's helping a great deal.
I also know of someone who jacked up his volume on swings/DL so much that he started having hip issues because his hip flexors were super weak in comparison to his overdeveloped posterior chain.
So the takeaway--have balance in your own training, and keep an eye out for potential issues. It is possible to have too much of a good thing, even if the 'thing' is as good as a squat, swing, deadlift, pullup, or overhead press; and you use it to the exclusion of certain other movements. My 0.02--pursue movements that allow you to move big weights efficiently and pain free, and use correctives and other general exercises to stay balanced.