If I mix an aqueous solution of hydrogen chloride with an organic solvent, will the organic solvent contain hydrogen ions?
$\ce {HCl}$ is so strong a proton donor that bases weaker than water could be protonated.  Alcohols and etherss, if they form a separate phase from water, are likely to be protonated.  Going the other direction, some organic compounds with little solubility in water might become more soluble in a hydrochloric acid solution if they are sufficiently basic.  The basicity of some cyclopropenones can be measured that way.  See (behind a paywall) http://pubs.acs.org/doi/abs/10.1021/cr60288a003?journalCode=chreay.