Don't worry about getting the chip, because you already have the chip. What do you think a smartphone is? A smartphone is a box of chips.
The vaccine won't contain a chip, because doing so is challenging in many ways. Whereas putting a chip in smartphones for the most part is without a challenge.
To chip a population is easy, just give them smartphones. People have come to love their smartphones, they can't live without one.
No shot or chip please, I remain hands free with a Panasonic cordless home phone landline with an answering machine, plugged into the wall, not my brain.
Orwell never predicted we'd buy the cameras and microphones to facilitate surveillance on ourselves.
P.T. Barnum otoh, more than adequately explained how you get people to spend over a thousand on new disposable phones.
Mack Reynolds predicted the pocket Phone as wallet, identification, and computer system interface in a world without cash ( except the underground economy ) including tap to pay, and position reporting. ( long before the Internet )