No, chloroform and petroleum ether are not miscible. Chloroform is a polar solvent, while petroleum ether is a nonpolar solvent. Polar solvents are able to dissolve polar solutes, while nonpolar solvents are able to dissolve nonpolar solutes. Since chloroform is polar and petroleum ether is nonpolar, they are not able to dissolve each other and are therefore not miscible.