No; newer OpenSSL branches introduce API incompatibilities with the older branches/versions; one would have to modify the source of a given application (relying on OpenSSL 1.0.2) to implement support there for a later OpenSSL branch and recompile the source anew...
FTR, the 1.0.2 branch was publicly EoL'ed in the end of 2019, with OpenSSL-1.0.2u (1.0.2.21); this LTS branch is still under Premium Support for enterprises not able to update to later branches, however the needed fee for such support is beyond the reach of private individuals; if you scavenge Russian forums, you may stumble upon some compiled leaked sources, e.g. I did find myself OpenSSL-1.0.2.zi (1.0.2.34) binaries there, but, ofc, I'm not going to post links for them here ...