SMS short code question

I want to purchase an SMPP link from a telecom company to send bulk SMS. Currently I have 10 GSM modems I use to send SMS (all of them use a regular long number called MSISDN). My question is if I purchase a single short code to go along with my SMPP account, can I mask the outgoing SMS to reflect the originating number to any of my existing 10 numbers (regular MSISDs).

To reiterate the question, I want the “originating number” to be a regular long number rather than a short code for messages sent over SMPP through a telecom company. Plus I want to rotate amongst those numbers whenever I choose. Is this possible?