No, it requires a finding of domestic violence.
However, I have argued cases where there was a criminal domestic violence charge, the defendant plead- out to lesser included offense, like trespassing or vandalism, and the "victim's" attorney attempted to raise the 3044 presumption nevertheless, based upon the original charge and allegations.
Trespassing, in and of itself , is not a domestic relations case. However, if it is part of stalking it could be. I have no comment on 3044 usage
The above 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.
Your use of the word "trespassing" is not clear, Is the other party coming to your home and spying on you, for example. You need to be more clear about the actions complained of before anyone could provide any guidance.