I want to see if it is possible to access local bash shell via Putty, I can access/use it via MobaXterm or from Linux partition but not from Putty. I am using Putty from Windows.

I want to see if it is possible to access local bash shell via Putty, I can access/use it via MobaXterm or from Linux partition but not from Putty. I am using Putty from Windows.

You can't with Putty.
Putty is a remote terminal client. It just doesn't have the functionality to run a local shell. It connects to a remote system and runs the shell over there.
MobaXTerm can do it, but that is because is a not just a terminal client (like Putty), but also contains a build-in Cygwin shell with a lot of Linux commands. It is this shell that is started by MobaXTerm when you tell it to open a local bash shell.
Opening a terminal window in Linux is an entirely different thing. You just run the shell application (bash or another shell) directly in a local window.
In Windows the equivalent of that would be to run a CMD of POWERSHELL prompt. Or (if you have the WSL (Windows SubSystem for Linux) installed) you could run a Linux terminal (with bash) directly in that.
Last, but not least: You can always run a SSH server in Windows and use Putty to connect to localhost. (But Putty is, technically, still a terminal client in that case. It is just that client and server both happen to run on the same machine.)