I don't think that is possible because if the price fropos that means the number of transactions is droping meaning with the same hardware you will be able to make more amounts of bitcoins.
If the price drops suddenly then usually, the panic starts and people send their bitcoins ot exchanges in order to sell it. Mining might actually become unprofitable if there won't be a new ASIC released. However, I doubt that it would happen. There are many cryptocurrencies which are not profitable to mine but people still do it? Why? They probably want hold it and sell when the price increases.
No one accepts a coin without profit. They will not mine it if they do not receive any profit, I'm sure of that. They always calculate carefully, or at least, they see its potential in the future.