Workaround for what you describe in absence of spatial analyst:
arcpy.Buffer_analysis("target","../buffer.shp", "100 Meters")
arcpy.FeatureVerticesToPoints_management("buffer","../points.shp","ALL")
arcpy.AddField_management("points", "PID", "LONG")
arcpy.CalculateField_management("points", "PID", "[FID]")
arcpy.Near_analysis("points", "target","LOCATION")
arcpy.MakeXYEventLayer_management("points","NEAR_X","NEAR_Y","points_Layer")
arcpy.CopyFeatures_management("points_Layer","../from_points.shp")
arcpy.Merge_management("from_points;points","../pairs.shp")
arcpy.PointsToLine_management("pairs","../lines_2D.shp", "PID")
arcpy.InterpolateShape_3d("DEM","lines_2D","../lines_3D.shp")
arcpy.AddField_management("lines_3D", "XY", "TEXT")
Run this on new field (fixed on 05/02/2018):
def getPoint(shp):
part=shp.getPart(0)
n=len(part);L=0
for i in xrange(n):
p=part.getObject(i)
x=p.X;y=p.Y;z=p.Z
if i >0:
dX=X-x;dY=Y-y;dZ=Z-z;dL=pow((dX*dX+dY*dY+dZ*dZ),0.5);L+=dL
if L>=100: break
X,Y,Z=x,y,z
xNew=x+dX/dL*(L-100);yNew=y+dY/dL*(L-100)
return '%s %s' %(xNew,yNew)
#-----------------
getPoint( !Shape!)
Add X and Y fields to lines_3D and populate them using:
!XY!.split(" ")[0] and !XY!.split(" ")[1]
Make XY layer from above 2 fields, copy it to points feature class and use point to line to create buffer line inside original:
OUTPUT:

Conclusion:
Unless your terrain is extremely steep simple buffer will do the job, unless which looks very likely you are actually talking about flow length. Bad luck, because for that you need hydrological analysis toolbox from spatial analyst