I've seen pictures of perfect 50 ohm readings for various antennas on various forums, so it is possible, but really your chasing irrelevance.
Your using that analyzer to get a perfect SWR match, however, the perfect SWR match is rarely the best performance setup for an antenna. As a matter of fact, SWR by itself tells you nothing about antenna performance. On the plus side, you are looking at the right place, namely the X and R values that are shown, unfortunately you are using them for the wrong purpose and in the wrong way.
To put SWR into perspective, SWR tells you exactly one thing, and that is how well the signal at the radio (or amp or whatever) end of the coax will match up to the 50 ohm device it is being plugged in to. When it comes to antenna performance you need to look at the other variables that you are already looking at and learn about them.
X you likely already have an idea about. It shows reactance, well kindof. Well enough for most people in the CB/Ham worlds anyway. Here you are balancing the two types of reactance, and when they are equal you have resonance, or X=0.
When it comes to R many people, especially new users of antenna analyzers who came from using SWR meters before hand, are still thinking in terms of SWR, so for to many R=50 is as good as it gets. That is fine, but R is more than just a number to get close to 50, and in some cases getting it closer to 50 will actually hurt antenna performance. In reality, for best performance, you want R to be as low as you can get it while X=0 and still maintaining a reasonable SWR (2:1 or less). This is because R is representing two things added together, the radiated power and the lost power due to things like ground losses and loading losses ect. As you lower losses the radiated part of R takes up more and more of the whole, meaning a stronger signal is transmitted. This loss is entirely different than the losses caused by SWR which, due to re-reflection is rarely anywhere near as bad as people make it out to be.
This is easily confirmable by using a field strength meter along with your antenna analyzer. If you used a field strength meter with just an SWR meter before getting an antenna analyzer you would already have been aware that the strongest radiating tune on the antenna is not always the lowest SWR point...
The DB