Unfortunately, the script seems to be written in C or C Sharp and it won't run on our server unless it's written in Perl.

Considering that Perl is executed by perl, which is written in C, that's actually quite an odd statement.

Is this something I can convert myself?

How should we know? Can you? Have you tried?

I would probably just compile the program, and then run system or qx to run the executable. Or turn the program into a library, and link it to my Perl program using XS.