I seriously doubt it. It might be able to get one at some point, but almost definately not multiple.

For a rough idea of the scales, just look at the current reward for finding a block (12 btc) and it's current value (about $31k USD). Miners are just barely breaking even on ASICs, so a $31k miner should be able to pay for itself over it's lifetime.

So unless you have hundreds of thousands of dollars of miners, you aren't going to realistically find a block, and unless you have millions of dollars of ASICs you aren't going to be able to mine enough to keep a chain from dying on your own.

So I presume that a hard fork would become economically very viable at that point.

But then you've just created a new coin that shares a bit of history with another one.

Yes, and unless you're in the mood of arguing over Theseus's ship paradox, with hundreds of thousands of stakeholders. Essentially this currency would become what Bitcoin is today.