  The study of the production of nuclei and antinuclei in pp collisions has
proven to be a powerful tool to investigate the formation mechanism of loosely
bound states in high-energy hadronic collisions. In this paper, the production
of protons, deuterons and $^3$He and their charge conjugates at midrapidity is
studied as a function of the charged-particle multiplicity in inelastic pp
collisions at $\sqrt{s}=5.02$ TeV using the ALICE detector. Within the
uncertainties, the yields of nuclei in pp collisions at $\sqrt{s}=5.02$ TeV are
compatible with those in pp collisions at different energies and to those in
p-Pb collisions when compared at similar multiplicities. The measurements are
compared with the expectations of coalescence and Statistical Hadronisation
Models. The results suggest a common formation mechanism behind the production
of light nuclei in hadronic interactions and confirm that they do not depend on
the collision energy but on the number of produced particles.
