You can be absolutely certain that there are people out there who spend a significant amount of time trying to crash Apache web servers externally, just as you can be sure that the Apache Software Foundation spends a significant amount of time testing their software to ensure that this type of attack will not succeed.
To specifically address your question; Apache uses mod_deflate to compress and decompress data sent and received. So, the target here is not Apache but the module used for handling compressed files.
Given that zip bombs are a well known vector of attack, and that it is possible to craft a request containing a maliciously formed zip object, this type of attack would fail.
You can be certain that the day someone finds a way to attack in this manner the problem will be identified and patched in a very short period of time.
Some applications have specific detection routines to detect and handle zip bombs.