the likely answer is no.
1 Very key concept to understand.
I'm going to assume that you have an ISP/hosting provider and/or internal server that allows you to change around your DNS information.
Where ever you have your DNS information hosted either locally or external there's a key part of the DNS record called the MX record (it's short for mail exchange).
http://en.wikipedia.org/wiki/MX_record
Now whenever your customer emails support@domainX.com, their dns does a lookup for the MX record for your company. This MX record is pointed towards one of your public IP address. This record serves as a way to know where the email is going. Whatever IP address your company MX record points to is probably the exchange server.
So there's no way to tell support@domainX.com goes to this email server, and anything else goes to the exchange. It all points to the exchange, it's just how things work
Now there's some fancy internal DNS tricks you can play around with, but it's pretty difficult. there's the potential to make the support type email go to a different email server. You need to talk with your sys admin team to see if this is possible.
Also don't assoicate Exchange with email type. It's either IMAP, or POP3. those are the 2 types.
Edit.
If your MX record points to the ISP. Make sure you can recieve support@domainX.com at the ISP level. If that's good, then create a forwarding address at the ISP level to either your account on exchange or create a dummy email address on the exchange server that auto forwards any email it gets to your email address on the server.