Assuming this is the XM3 model headphone,
If you are using the Sony headphones in wireless Bluetooth mode the Bluetooth source does not matter whether a computer, smartphone or Bluetooth digital audio player
Bluetooth headphones keep it digital and have built in DACs. Whether there is an audible difference between the Sony and Apple players as wired sources is another matter.
If you are using the Sony headphones in wired mode, the source may make a difference but of course the wired headphone and your ears also plays a role
For Bluetooth headphones, you are more likely to hear a difference because Apple supports SBC and AAC codecs
The internet says the NW55 supports LDAC codec, which allows higher bit rate = more data = in theory higher sound quality
*Double check for yourself the Sony player supports LDAC