Perhaps you can use the inverse emulsion or suspension or you want to synthesise organosole? which one? I think it is unclear but you can use toluene for organic phase.
Which organic solvent ? Whatever, provided that your polymer is soluble in it. But indeed, it won't be a true hydrogel. If the solvent is an alcohol, then it will be called an alcogel. But sincerely, it doesn't change much, except that the drying will not lead exactly to the same material.