So let's say one typoed something in their .bashrc that prevents him (or her) from logging in via ssh (i.e. the ssh login exits because of the error in the file). Is there any way that person could login without executing it (or .bashrc since the one runs the other), or otherwise delete/rename/invalidate the file?

Suppose you don't have physical access to the machine, and this is the only user account with the ability to ssh in.

For Reference: .bash_profile includes .bashrc:

[[ -f ~/.bashrc ]] && . ~/.bashrc

Edit: Things I have tried:

ssh user@host "rm ~/.bashrc"

scp nothing user@host:/RAID/home/tom/.bashrc

ssh user@host "/bin/bash --norc"

All give the error:

/RAID/home/tom/.bashrc: line 16: /usr/local/bin/file: No such file or directory
/RAID/home/tom/.bashrc: line 16: exec: /usr/local/bin/file: cannot execute: No such file or directory