hi.
Two things:
1. the wire can be narrower on the first 1-2mm of length, this is called breakout. This short segment will not disturb your signal too much, you don't need the calculated width all the way to the chip pad.
2. it looks like you want 50ohm on a 2-layer PCB. Maybe you should start thinking on using a thinner PCB, like 0.75mm thick to make your 50R tracks to be a lot narrower. If you are making your own PCB then it might be difficoult getting 0.5...1mm thick bare board. But if you get your PCB made at a PCB manufacturer then you can ask them what thicknesses are available in their stock and use one of those. These thin bareboards are used for manufacturing multilayer boards, and called core or laminate. If the GND plane is closer, then the impedance calculation results in a narrower track width for the same impedance value.