Professor Krugman says no:
"Inflation especially hurts the poor" has truthiness — it sounds like it should be true. But I don't see either evidence or a mechanism 4/
— Paul Krugman (@paulkrugman) December 11, 2021
While The Conversation (July 14) says yes:
Swelling grocery bills are pummeling the poorest – who spend over a quarter of their incomes on food
Also at The Conversation, July 11:
So who knows?