Two mechanisms that may lead to a reversal of the effect of monetary policy on inflation

Is it possible that an expansionary monetary policy may lead to a fall in inflation and that a restrictive monetary policy may lead to a rise in inflation? Two mechanisms may lead to this paradoxical effect: "Neo-Fisherism": expected inflation, and therefore long-term inflation, is determined by nominal interest rates; The "monetary policy cost channel": companies have to run up debt to finance stocks and working capital requirements; if interest rates rise (for example), the cost of this necessary debt increases, which leads to a rise in production costs and in prices .