Shell script to connect from one server to other

Dear Experts,

I am new to the shell scripting.
I am looking for a shell script to connect to one Unix/Linux server1 to other Unix/Linux server2 and trigger a SAP Event in that server2 (Which will trigger a job in SAP).
Is this possible to connect from one server to the other server securely using Shell Scripting?
Is it possible to trigger that shell script from an operating system command?
I think, its possible, but I want confirmation from experts before I proceed the solution approach.
Please suggest on the possibility and how much time it may take to write that script?

Thanks & Regards,
Venu V Reddy