I'm worried about a fire
It sounds like your outlets are daisy chained. This is a very common problem and easily repaired. Over 95% of the time when I am called for this exact problem the outlets with backstabs were used, however in the kitchen the circuits should be 20 amp and back stabs will not work with 12 gauge wire so it may be a loose wire nut or broken wire in the box. Turn the circuit breaker off. Pull the noisy outlet you will probably immediately identify the bad spot by finding some melted insulation or soot covered areas from the arcing (that is what is making the noise) I usually replace outlets with spec grade back and side outlets they cost a few more dollars than the 98cent cheap construction grade outlets but are worth the few dollars extra. The clamps are very solid compared to construction grade. Replace the outlet and any damaged wire. This may require pigtailing the whites together and blacks together if the wires are damaged (I prefer pigtailing any way) then put the white wire on the silver screw side and the black on the gold or brass colored screw side bare copper to the green screw attached to the yoke and reinstall the outlet. Now turn the breaker back on and everything should work again.