I'm surprised that "no" is the accepted answer to this as it shouldn't be.
Sure, in some circumstances - perhaps including yours - different zipping tools may only get you marginal differences in size, but often that is not the case, so I wouldn't want people to read the incorrect 'no' answer and give up trying to compress files
more.
ZIP files can be created with varying levels of compression, e.g. LOW, MEDIUM, HIGH, ULTRA (not all tools use these exact names for levels) and there can be a very large difference in the resulting files - for example HIGH compression might be literally
twice as good as LOW!!
There are also alternative formats to ZIP, like RAR or 7z just to name two examples. Why do these exist? Well simply put some of the alternative formats are more effective than ZIP. As an example on their home page 7-zip compress a 23mb series of files
in different tools and found some formats are 50% better than others, even when both tools are set for maximum compression.
There are plenty of independent reviews out there which compare formats, search around a bit for a review if you are uncertain and definitely find a tool, I use free ones, that compress more.