As
@GloryHunter07 said, Carney is a pragmatist and won't react to a spike in inflation, he has to think longer-term. Plus you'd have to put rates up loads to tempt in speculators, given the lack of trade deal killing our fundamentals.
The BoE
could raise rates and buy sterling to try and defend the currency, but that would be crazy, cos you'll get creamed by hedge funds, like on Black Wednesday when the UK fell out of the ERM.
We do have high employment, but that's slightly distorted by zero hours contracts etc...Consumer debt is very high and wage growth only recently nudged ahead of inflation.
I don't think people are saying we'll all starve to death, more that certain products, eg fruit and veg flown in from say Spain might face shortages.