That's part of the rationale behind accumulator systems like the Accusump. Those devices allow you to accumulate 1-3 quarts of oil in a reservoir that is pressurized by the oil pump. They have a valve that you can shut off while the engine is running, to keep pressurized oil inside the accumulator. Then, next time before you start your engine, you just open the valve. You will then have oil pressure when you crank the engine, eliminating wear on the engine components at startup.
For most of our applications, though, I wonder how useful this really is. Most of us aren't putting tons of miles on our engines, so wear at startup may not be an issue. I will rarely have an engine with more than 15K miles on it before I want to tear it down to do something else with it, and I just don't think that in an engine with such limited miles, startup wear is a big problem. At least I've never seen a bearing wear issue that could be tied to wear at startup on my engines. On the other hand, if you expect to put 60K-100K miles on the engine before it gets freshened up, an accumulator system probably makes sense.