It is possible to still get financing. As long as you qualify for the PITI on both properties and your DTI meets Fannie Mae, Freddie Mac or a particular portfolio investor guidelines, there should be no problem with this.
RPM | Los Angeles
Cell: (310) 995-0975
Depending on the type of loan program you are using to buy the investment property you may also be required to have financial reserves (i.e. money leftover after the transaction closes) in the amount of 6 months of it's proposed PITI payment + 2 months PITI for each other investment property or 2nd home.
Shane Milne | Lending in all 50 states | NMLS #81195