Does a resting neuron have cytoplasm?

Yes.

All living cells, including neurons, have cytoplasm. Cytoplasm is the jelly-like substance that fills a cell and contains all of the cell's organelles, such as the nucleus, mitochondria, and endoplasmic reticulum. Neurons have a lot of cytoplasm, which is important for supporting the cell's many functions, such as generating and transmitting electrical signals.