Yes. Intense physical or emotional stress can push an unusually large share of hair follicles into their resting phase at once, and two to three months later those hairs shed together. Doctors call this telogen effluvium, and it is one of the most common causes of sudden shedding.
Transcript
When people shed heavily after a hard stretch, they usually blame the wrong month. A hair pushed out of its growing phase doesn't fall that day. It stays put for weeks, then releases. So the shed you see in June often traces back to March. The illness, the surgery, the crisis. By the time you notice it, the cause is already behind you.
The encouraging part: stress-related shedding is usually temporary once the trigger passes. The tricky part: it can also unmask or accelerate pattern hair loss that was already quietly underway. Distinguishing the two is a doctor's job, and it is much easier when there are dated photos showing when the change started.