if you have the ability to create a .pl file and directories on the server then you can use really any module.

I never bother my hosting provider with module installs, instead I have a perl-lib dir in my home directory with around 5 megs of modules. You just need to add the path to your perl files. I use something like this:

use lib ("/home/myusername/perl-lib");
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@INC stuff
Use Lib() and require
perlman:lib:lib

If you're absolutely intent on not using any modules, try implementing you own handler:

for (@page) {
   s/include\("([^"]+)"\)//;print;
   if(open F $1){while(<F>){print}}
}
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this one should work with php style tags (what you showed). it's incredibly insecure and would miss alot, and may not even work, but it demonstrates the idea