You might transform your coordinate list with FromSphericalCoordinates or CoordinateTransform to Cartesian coordinates and then use ListPointPlot3D or ListSurfacePlot3D.

SphericalPlot3D plots a surface given as a functional definition r(theta,phi). It does not accept a list of points. ListPointPlot3D and ListSurfacePlot3D both accept a list of points in Cartesian coordinates. ListSurfacePlot3D attempts to construct and plot a surface, assuming the points define a surface. ListPointPlot3D plots a point cloud in 3D. Either of these could be used to visualize your set of points in 3-space, once the spherical coordinates were converted to Cartesian. Perhaps you could post your code in a code block so the list of points can be constructed?