There’s no shortcut to nature’s process. So sit back, relax, and watch the slow and peaceful progress your plants are making.
If you’re set on winning time, you can start by locating a germinated acorn already. In the northern hemisphere, roughly between November and April, you can search amongst the leaves at the foot of oak trees. With a bit of luck you’ll find several acorns that are already showing the first signs of sprouting, or even better, find some with a tap root already coming out. That will cut your waiting time by at least a month. If you live in a warmer climate, you might have live oak/summer oak growing around. These carry acorns far longer than their northern cousins.
Can’t find any? Start from seed!