PSD Profile into Time Domain Data

Is it possible to convert the given PSD profile into time domain data?

Theoretically possible, this is called Synthesis process, mostly this is dealt by Signal processing engineers. There is no ready-made procedure available for this either in Ansys Mechanical or MAPDL, though one can write an APDL macro for the math, but it becomes involved. However; Ansys nCode Design Life product can do this, attached PSD to Time_nCode Worked Example.pdf give you an idea.