It sounds to me like he's shacking up with friends atm. I'm sure he's got a flat or something in London, though. He seems to be in LA a lot lately, so that may have been what he was talking about when he said he had no apartment.
Twenty-two-year-old Robert Pattinson fondly recalls his time living in a “cool little ex-crack den” in London with best friend Tom Sturridge. He’s joking (we think) about their bad behavior as struggling young actors. “We spent the better part of a year just getting drunk every night,” Pattinson admits. “I don’t know if that counts as ’struggling.’”