If I have a warrant for my arrest for money owed or failure to appear, can an officer come to my house and arrest me?

It appears a tad unusual that an arrest warrant/default warrant would be issued so quickly. Most courts take more than a week to issue the warrant let alone transmit to the proper police department for service. The answer to your ultimate question is YES. If there is an outstanding arrest warrant/default warrant in place, you are subject to arrest. The issue as to entry into your home or private place you may be at, is another issue. Police need strong probable cause to believe the target of the warrant is actually within the dwelling prior to announcing and entry. Consult an experienced criminal attorney.