Short answer: YES
Long answer:
If you look at a binary, you can find the names of the libraries that have been linked in. Opening cmd.exe in TextPad easily finds the following at hex offset 0x270: msvcrt.dll, KERNEL32.dll, NTDLL.DLL, USER32.dll, etc. msvcrt is the Microsoft 'C' runtime support functions. KERNEL32, NTDLL, and USER32.dll are OS specific libraries which tell you either the target platform, or the platform on which it was built, depending on how well the cross-platform development environment segregates the two.
Setting aside those clues, most any c/c++ compiler will have to insert the names of the functions into the binary, there is a list of all functions (or entrypoints) stored in a table. C++ 'mangles' the function names to encode the arguments and their types to support overloaded methods. It is possible to obfuscate the function names but they would still exist. The functions signatures would include the number and types of the arguments which can be used to trace into the system or internal calls used in the program. At offset 0x4190 is "SetThreadUILanguage" which can be searched for to find out a lot about the development environment. I found the entry-point table at offset 0x1ED8A. I could easily see names like printf, exit, and scanf; along with __p__fmode, __p__commode, and __initenv
Any executable for the x86 processor will have a data segment which will contain any static text that was included in the program. Back to cmd.exe (offset 0x42C8) is the text "S.o.f.t.w.a.r.e..P.o.l.i.c.i.e.s..M.i.c.r.o.s.o.f.t..W.i.n.d.o.w.s..S.y.s.t.e.m.". The string takes twice as many characters as is normally necessary because it was stored using double-wide characters, probably for internationalization. Error codes or messages are a prime source here.
At offset B1B0 is "p.u.s.h.d" followed by mkdir, rmdir, chdir, md, rd, and cd; I left out the unprintable characters for readability. Those are all command arguments to cmd.exe.
For other programs, I've sometimes been able to find the path from which a program was compiled.
So, yes, it is possible to determine the source language from the binary.