That's quite insulting.
Personally, I'm getting a bit tired of hearing "lol nerd harder! It's impossible!" from people who can't even spell IND-CPA. (Not saying that you are one of those. Just that there are a lot of them around.)
If it's really impossible, then somebody needs to show up with a proof of impossibility.
If it's a matter of having the computing resources to crack a key, then people's computers are too easily compromised to act as bots to solve any such problem. Our computing infrastructure is simply too vulnerable. To avoid this scenario, you'd have to secure every operating system in the world in a way that they could not be compromised, even in principle. That's as close to a proof as should be needed, unless there's a compelling counterargument to suspect some assumption is false. I have yet to hear such an argument.
2. Dual EC isn't protecting anything of value, and hasn't in about 15 years. If your reply is meant to be pedantic about my phrasing, notice that the context is about encryption that is actually in use.