I have also begun to have the can't supercruise/hyperspace jump issue this afternoon. I was able to use supercruise and make hyperspace jumps this morning, but now every time I try it does the countdown and then locks up with the startup animation cycling without actually doing anything and the game becomes nonresponsive until I kill the game as it won't do anything other than shaking the cockpit and the fuel gauge continues to slowly drain so I'm afraid that if I don't kill the game I'll run out of fuel, and the countdown timer remains frozen at 000.000 and I never get any closer to my target.
I've tried validating the game, I've tried dropping graphics to minimum settings, rebooting the PC, making sure drivers are current, making sure my internet connection isn't running slow from my ISP... and I can't find anything on my end that would cause anything like this issue as each time after restarting the game I can fly around, dock, leave a station, but I can't use supercruise to move around a system or hyperspace to jump systems.
I have submitted an issue regarding this and even showed pretty solid proof the problem is occurring two screenshots in which you can tell that time has passed and fuel is being consumed yet the ship is no closer to the target despite not being stationary. Although showing that in the jumping into supercruise animation is still going on should also be a big hint to the devs that something is wrong. I also included a dxdiag report in the submission so hopefully, they will figure out what is going on soon.