If the growing conditions on an old wall were suitable, the lichens would already be there. They need moisture to grow (though they can survive in a dormant state without it), and a stone wall that is exposed to wind and/or sun may simply be too dry. They are also sensitive to air pollution.
AFAIK you can't "replant" them in any practical way. You may be able to encourage them to colonize by painting the area with organic matter, e.g. a weak solution of yoghourt (ref: https://www.rhs.org.uk/advice/profile?PID=415)
Note that a typical patch of lichen only expands by 1 or 2 mm per year so whatever you try will not give quick results!