No-- the pressure before TDC is relatively insignificant, otherwide the piston wouldn’t continue to rise against it. In gasoline engines this pressure is often expressed as a ratio-- you might speak of “an 8 to 1 compression ratio”, or 12 to 1, etc. Lower ratios can use low octane fuels while higher ratios require high octane fuels. (Octane is merely a measurement of resistance to premature detonation, and premature detonation is more likely at higher cylinder pressures.)
The pressure in the cylinder after TDC is orders of magnitude greater. This is the “explosion” that creates the power stroke. It is hardly comparable to presures used for fuel injection. Yes, strictly speaking this pressure should decrease as the piston moves down, since the volume of the cylinder is increasing. But this is an infinitesimal amount. And the actual dynamics of combustion (time to complete the burn, speed of piston movement at engine speed) makes it moot.
There’s no real need to combine these dramatically different engine types. External combustion engines (“steam engines”) have some dramatic advantages, enough to reconsider them in their own right even today.
An EC engine stores its energy as the pressure in its boiler. That energy can be used directly to power an engine. IC engines store energy in their fuel, which can only indirectly provide power.
EC engines produce virtually zero emissions, since the products of complete combustion of hydrocarbon fuels are carbon dioxide, water, and heat. While today we might have additional worries about the co2, it would still be a huge advantage for, say, Los Angeles or other places burdened by smog.
EC engines also need no transmission, since they have a “flat power curve”-- they can produce full design torque at any RPM. They don’t need a “low gear” to get started at low RPM and higher and higher gear ratios as the engine increases in speed. Eliminating this piece of equipment would be a great weight saving, as well as reducing maintenance.
EC engines also do not need complicated, computer timed fuel systems- no carburetor, no fuel injectors, no cam shafts, no distributors, no spark plugs. The boiler can be heated by an open fire, like a Bunsen burner or a gas BBQ grill, fueled by natural gas, coal gas, or even crude oil or vegetable oil. It can even be heated by alternatives, like lumps of coal, kindling wood, or anything else that will burn.
Lots of reasons to reconsider EC as a modern alternative for personal vehicles. No good reason to burden them with the limitations of an IC cycle.