No and here is a siting from erowid

I have had too much magic mushrooms, an overdose technically is too much not necessarily death. It was about 7 years ago, I was picking liberty caps early in September and over the course of a few days I took a lot of low strength ones and on the fourth day I must have had enough. I was washing dishes and I just felt dizzy collapsed and hit my head off the bunker, I got right back up and walked 5 feet to the couch~~ thinking that would help, then my stomach went to reject, so I ran to the bathroom about 10 feet away, I was told I then got my head off the sink in the bathroom, which I do not recall, I was sick twice and recovered fast back to a normal mushroom trip.

No, before you are even able to ingest such a quantity you would be far in hyperspace :-) Eg someone that weighs 60 kg should ingest 17 kilograms of shrooms.

You can't physically OD on shrooms, it's like weed that way.