The phrase "actually exists there" is correct and usable in written English.
It can be used to emphasize the reality or presence of something in a specific location or context.
Example: "Despite the rumors, the evidence actually exists there, confirming the findings of the research team."
Alternatives: "truly exists there" or "genuinely exists there".
"One's interpretation of it is far more magical and curious than what actually exists there".
"Chandler wanted his detective stories to invoke the sense of the 'country behind the hill.' " Because Ligotti has no interest in whether or not that world beyond actually exists, there is a tension, an unanswered question, in his work: Can we locate the source of this horror?
If you want to do the research and see if this person actually exists, there are plenty of websites that will be happy to mess with your head and/or comfort you with facts and figures.
The basis for our film's supposed charisma doesn't actually exist: there's no such place as the dark side of the moon.
"If the train does actually exist, there's a significant chance it is mined," council chairman Jacek Cichura told the Polish daily Gazeta Wyborcza.
Rather, in addition to things like us that actually exist, there are merely possible things — possible Aliens, for example — that could have existed, but, as it happens, do not.
The representational theory is sometimes assimilated to Alexius Meinong's fanciful view that along with the many things that actually exist, there are plenty of other things that are like the things that exist except for happening to lack the property of existing.
Onlookers hailed the review as a sure candidate for Hatchet Job of the Year, a prize that actually exists, out there in the boiling blogosphere.
A Ramsey sentence of the kind at issue says that there actually exists some entity satisfying certain requirements (there is a kind of state that is caused by perceptions …).
GP 1. "there's still a bit of controversy around as to whether it actually exists… I guess there's a part of me that thinks is it something that could be used by patients that want an excuse not to work… as the nurse you'd feel there's nothing really I can do" PN1.
Although these two features are presented in separate sections, there actually exists a tight relation and interaction between them.
