Firstly I would like to expand a bit on what a colligative property is, in order to bring more understanding and also be able to apply this to a named physical property.
Colligative properties depend mainly on the number of particles in a solution.
The values of the colligative properties are approximately the same for equal
concentrations of different constituents in solution regardless of the species or chemical nature of the constituents. Examples are osmotic pressure, vapor pressure lowering, freezing point depression, and boiling point elevation (as you have noted).
Furthermore, physical properties of substances are not just limited to the colligative nature. In fact a number of properties have been defined:
additive (depend on the total contribution of the atoms in the molecule or on the sum of the properties of the constituents in a solution e.g molecular weight).
constitutive (depend on the arrangement and partly on the number and kind of atoms within a molecule e.g interfacial characteristics).
other thermodynamic physical properties are known (extensive, intensive)
Having gained this background, it is now evident that surface tension (a force that pulls the molecules of the interface together) is dependant on the arrangement and also on the nature of atoms or molecules , therefore is more of a constitutive property rather than a colligative property.
I have included a screenshot to better visualise the phenomenon:
Hope this helps.