Not in any useful manner, no. It is the caller, not the callee, that has to set the arguments up in the stack space; the extended base pointer (EBP), which points to the first of the current function's local
stack frame, is then used together with a positive offset (that is, one pointing higher in the stack, above the current stack frame, into the caller's local stack where the arguments are held) to locate the arguments. I should add that, due to the way the stack works in p-mode, all arguments - regardless of actual size - are stored in increments of doublewords (four bytes). Finally, in the C calling convention (which IIUC would be used here), the arguments are pushed onto the stack in reverse order (with the last argument being the highest on the stack); this is followed by the return address, which is automatically pushed onto the stack by the call instruction, and the caller's EBP, which by convention is pushed by the called function. Thus, if a function has three arguments, a char, a double and an int, to access the int you would then need an offset of 20 (four bytes, for the caller's EBP, four for the caller's return address, four for the char, and eight for the double):
mov eax, [ebp + 20]
If you look at the code, this function never makes any such memory accesses. Curiously, it does a similar thing in the first line, storing into EAX the doubleword above the current stack pointer (which at that point holds the return address) which would indeed be an argument if the function takes any; however, all it does is pass it as an argument to yet another function. Also, as I said earlier, all arguments passed on the stack are stored in groups of doublewords, regardless of the actual size; thus, all we know about the argument is that it is at most 32 bits wide, and that the called function is only acting as a trampoline to another function (which given that it's a DLL isn't too surprising I suppose). The actual order in which the function saves the 'sacred' registers (EBP, EBX, EDI, and ESI) is unusual, meaning that the offset from EBP (if it were used, which it isn't) would need to be larger than the way I described it, but it doesn't matter so long as the code is consistent in how it handles them.
Interestingly, the functions also creates a local memory space of 0x07c bytes (124 in decimal), presumably for some sort of buffer space, in addition to the fixed (and thus non-reentrant) data space at 0x01000C078 whose address is also pushed as an argument to the second called function. What it is used for is unclear.
See this article
and this one
for more details on argument passing; while they refer specifically to gcc, it applies generally most system functions in Windows as well. Now, this is the calling convention for ordinary functions; it is possible that DLL functions work differently, but if they do, I'm not aware of it.
Comments and corrections welcome.