If the anti- antivaccine community was less about the fun of bullying and more about lives this is something they could address.

Legislative solutions include making it easier to administrate the vaccine (Doctors try and keep the monopoly on this, requiring appointments and $)

It's also a classic issue of the vaccine for healthy individuals can be seen as more a community benefit so subsidising the cost and/or requiring it in high risk areas like old age homes.

Not running out of vaccines would also help, as happened in Australia this year - https://www.smh.com.au/healthcare/flu-vaccine-shortage-amid-...