Yes.
You will need an AC-AC wall adapter of at least 12VAC more would be better.
Use a voltage doubler type rectifier to get +/- ~15VDC. Use 7805, 7812, 7912, and 7812 to get +5, +12, -12, and a separate +12 in that order.
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That is the basic circuit, except you will use the regulators to the +/- 12V as well as the other voltages. You can use multiple regulators on the unregulated + line to get multiple regulated positive voltages. It is also very safe as the AC-AC transformer is double insulated and low current.