I was hoping to hear from you by now, but I will respond. If it turns out I've misunderstood your question, please let me know by replying on this question thread and clarifying.
Yes, the police can get a warrant to charge you with a crime that occurred on your own property.
However, as the suspect of a crime, you NEVER are required to make a statement to the police. Anything you say to the police, even what you think is favorable, can be twisted and used against you. However, your right to refuse to be interrogated and to remain silent is a Constitutional right. You're protected by the 5th Amendment from having to give evidence against yourself.
The only way you should let the police question you about this incident is if you have a lawyer with you. Otherwise, you can and should refuse to submit to questioning.
If you don't make a statement and the police have enough evidence to arrest you, they will do so, but at least you won't have made any confessions or admissions which could cost you your case.