As a general approximation, all banks would fail if there were a run on them. It's merely a question of how much of a run would be needed. If the panic among VCs that led to the run on SVB were to continue in other parts of the financial system, other banks with shaky risk management could have similar challenges.
That being said, JP Morgan is not going to fail next week. Make no mistake that this was a massive risk management failure on the part of SVB. But large depositors of similar banks are panicking right now (just read HN this weekend), and it's up to banking regulators (FDIC, Federal Reserve, etc.) to calm their nerves by Monday morning.