Given the few facts that you list, the general answer is YES. The police can follow you onto private property if they saw the violation committed on the roadway and then you went onto the private property. The police can sit on the private property and watch the public roadway, observe you commit the violation, and then issue you the summons on the public roadway or on the private property if you had entered onto it. Good luck.
DISCLAIMER
This response does not constitute legal advice. Given the nature of this website, it does not create an attorney-client relationship. This answer is provided solely for informational purposes, for you to use as a starting point when speaking directly with a lawyer in your State. I urge you to immediately contact an experienced criminal defense lawyer admitted to practice law in your State before you make any decisions about this case.