No, I don't think C++11 will work on this older OS. You can try but I think it won't be easy, if not simply impossible.
The thing is, if you ship LibSys with your app, you need to ship all its dependancies. I.e. :
otool -L /usr/lib/libSystem.B.dylib
/usr/lib/libSystem.B.dylib:
/usr/lib/libSystem.B.dylib (compatibility version 1.0.0, current version 169.3.0)
/usr/lib/system/libcache.dylib (compatibility version 1.0.0, current version 57.0.0)
/usr/lib/system/libcommonCrypto.dylib (compatibility version 1.0.0, current version 50000.0.0)
/usr/lib/system/libcompiler_rt.dylib (compatibility version 1.0.0, current version 30.0.0)
/usr/lib/system/libcopyfile.dylib (compatibility version 1.0.0, current version 89.0.0)
/usr/lib/system/libdispatch.dylib (compatibility version 1.0.0, current version 228.18.0)
/usr/lib/system/libdnsinfo.dylib (compatibility version 1.0.0, current version 453.16.0)
/usr/lib/system/libdyld.dylib (compatibility version 1.0.0, current version 210.2.3)
/usr/lib/system/libkeymgr.dylib (compatibility version 1.0.0, current version 25.0.0)
/usr/lib/system/liblaunch.dylib (compatibility version 1.0.0, current version 442.21.0)
/usr/lib/system/libmacho.dylib (compatibility version 1.0.0, current version 829.0.0)
/usr/lib/system/libquarantine.dylib (compatibility version 1.0.0, current version 52.0.0)
/usr/lib/system/libremovefile.dylib (compatibility version 1.0.0, current version 23.1.0)
/usr/lib/system/libsystem_blocks.dylib (compatibility version 1.0.0, current version 59.0.0)
/usr/lib/system/libsystem_c.dylib (compatibility version 1.0.0, current version 825.24.0)
/usr/lib/system/libsystem_dnssd.dylib (compatibility version 1.0.0, current version 1.0.0)
/usr/lib/system/libsystem_info.dylib (compatibility version 1.0.0, current version 1.0.0)
/usr/lib/system/libsystem_kernel.dylib (compatibility version 1.0.0, current version 2050.7.9)
/usr/lib/system/libsystem_m.dylib (compatibility version 1.0.0, current version 1.0.0)
/usr/lib/system/libsystem_network.dylib (compatibility version 1.0.0, current version 1.0.0)
/usr/lib/system/libsystem_notify.dylib (compatibility version 1.0.0, current version 98.5.0)
/usr/lib/system/libsystem_sandbox.dylib (compatibility version 1.0.0, current version 1.0.0)
/usr/lib/system/libunc.dylib (compatibility version 1.0.0, current version 25.0.0)
/usr/lib/system/libunwind.dylib (compatibility version 1.0.0, current version 35.1.0)
/usr/lib/system/libxpc.dylib (compatibility version 1.0.0, current version 140.37.0)