Port impedance is not of importance, chip and antenna impedance is.
Mismatch between a complex load an a complex source is tricky.
Similar to the normal reflection coefficient for real loads or real sources, you can define a power based reflection coefficient (RCpwr) for both complex load and source.
RCpwr = (ZL-Zs*)/(ZL+Zs) Where the loss due to mismatch = -10*log(1-(RCpwr)^2).
In case of receiving, ZL is the complex impedance of the chip and Zs is the complex impedance of the antenna (as the antenna supplies energy to the chip). You see when Zs* = ZL, you have zero RCpwr, hence maximum power transfer.
For a given ZL (here the chip), all values for Zs (here the antenna) given a certain mismatch are on an a circle on the Smith chart (with Real Zo). The center of the circle is not exactly at the position of ZL*. If you accept low mismatch, the circle becomes smaller. When ZL* is further away from the smith chart center, the circle becomes smaller also.
So if you accept 0.51 dB loss (equal to |RCpwr| = 0.3333), you can calculate for example 3 or 4 values of Zs that give |RCpwr| = 0.3333. When you plot these points on a normal smith chart, you can construct the center of the circle. Then you can draw the circle. All Zs (your antenna impedance) that are within this circle have a mismatch < 0.51 dB.
I am sure there is math to calculate the position and radius of this circle, but I don't have this at hand now. When I needed this, I did this graphically on the Smith Chart and with a spreadsheet that calculates RCpwr.