Downturns happen, I graduated into the 2008 Great Recession and still got a job as a newly minted CS major. Don't resign from your current job until you have the offer letter in hand.
It is possible that you'll end up caught up in some of that. Not super likely, but possible for sure.
The availability of investment money has greatly decreased -- people are no longer willing to pledge huge sums of money to back companies with minimal revenues, no profits, and no plan on how they're going to eventually be profitable.
If the company that you're going to go work for is profitable, you'll probably be completely fine. If it's not profitable, the company might start to feel like all the free cash has disappeared, and things may get less awesome. If your company isn't profitable, doesn't have a lot of money left, and isn't going to be profitable soon, then you're probably going to end up looking for another job before this is all over.
But even if you end up without work for a time, engineers are still in demand. The problems that we can solve aren't going away, and companies will still figure out profitable ways to employ engineers.
Be aware -- pay attention to how your company is doing. But I wouldn't panic.