Ubuntu – Run 32-bit program on 64-bit Ubuntu without sudo

There is a 32-bit program that I need to run on a 64-bit Ubuntu. When i try to run it, I have the following error :

program: error while loading shared libraries: libncurses.so.5: cannot open shared object file: No such file or directory

When using my personal PCs, I have managed to solve this issue by using the following commands:

sudo dpkg --add-architecture i386 
sudo apt-get update 
sudo apt-get install libc6:i386 libncurses5:i386 libstdc++6:i386

However, I now need to run this program on another PC on which I can't have the sudo rights. I did a google search to solve this issue but haven't found anything conclusive.

So my question is: is there any way for me to run a 32-bit program on a 64-bit Ubuntu (14.04 LTS) without any sudo command ?

Edit : the program I am trying to use is ProFit V3.1

Edit for @EliahKagan : results of requested commands:
On the target machine:

$ lsb_release -a
lsb_release : command not found

$ apt-cache policy libc6
apt-cache : command not found

$ file /lib/x86_64-linux-gnu/libc-*
/lib/x86_64-linux-gnu/libc-*: cannot open `/lib/x86_64-linux-gnu/libc-*' (No such file or directory)

Given these results, I'm not sure I should also give the results on my machine… ?
On my machine:

$ lsb_release -a
No LSB modules are available.
Distributor ID: Ubuntu
Description: Ubuntu 14.04.5
LTS Release: 14.04
Codename: trusty

$ apt-cache policy libc6
libc6:
  Installed: 2.19-0ubuntu6.9
  Candidate: 2.19-0ubuntu6.9 [...]

$ file /lib/x86_64-linux-gnu/libc-*
/lib/x86_64-linux-gnu/libc-2.19.so: ELF 64-bit LSB shared object, x86-64, version 1 (SYSV), dynamically linked (uses shared libs) [...]