Yes. There is an exception to the warrant requirement known as hot pursuit. This means the police are chasing a suspect. They don't have to end the chase just because they go into their house.
I am a former federal and State prosecutor and now handle criminal defense and personal injury/civil rights cases. Feel free to check out my web site and contact me at (212) 385-8015 or via email at Eric@RothsteinLawNY.com. The above answer is for informational purposes only and not meant as legal advice.
If the police had probable cause to make an arrest and the suspect runs, they can chase him/her even into a private house without a warrant. It's called "hot pursuit".
If it is a chase/hot pursuit, the police officers actions may be justified/lawful.
A lot depends on the various facts involved. You need to speak w/an attorney to go all of the issues.
Joseph A. Lo Piccolo, Esq.
Hession Bekoff & Lo Piccolo, LLP
President, Criminal Courts Bar Association of Nassau County
1103 Stewart Avenue, Suite 200
Garden City, NY 11530
Sent from my Verizon Blackberry
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The previous two answers are correct. There are exceptions such as "hot pursuit" which allow a police office to chase a suspect into a home.
Juan C. Garcia, Jr.
GARCIA LAW OFFICE, LLC