Probably not, but you need to read the specific terms of your deferred disposition agreement. Usually it says you cannot receive a CONVICTION in the 90-day period of the deferred. It's really difficult to violate that because you'd have to literally get a ticket really quick and then plead guilty or demand a quick trial date and be found guilty. You can almost always delay the second ticket beyond the 90-day period (or whatever amount of time you were on deferred).
The above is for academic purposes and is not intended as legal advice. The response does not constitute the creation of an attorney client relationship as this forum does not provide for a confidential communication.
You may be able to get a deferral on the new violation as long as the court is unaware of your earlier deferral. A traffic attorney who is familiar with your court would be helpful.
Nothing in this answer constitutes an agreement to represent you in any criminal case. Additionally, the information provided above does not constitute legal advice.