"I am almost there!"

Translation: Jeg er der næsten!

[Jutas]

jeg er næsten der?

[deactivated user]

This wouldn't work for an exclamation such as in this sentence.

Your sentence could be used if you were pointing to a location on a map: "Jeg er næsten der." (As opposed to being somewhere else on the map)

[miacomet]

Seems ok to me. Sometimes adverbs can move around (c.f. "Flyet er her ikke." and "Flyet er ikke her." for "The plane isn't here.")

[deactivated user]

There's a difference between the two, though.

• Flyet er her ikke = The plane isn't here (It is gone)

• Flyet er ikke her = The plane isn't here (It must be somewhere else)

For example, if I went into a hangar and the plane was gone, I'd say: "Flyet er her ikke!" (The plane isn't here!) Then I'd go to the next hangar and ask a guy if my plane is in there. He would answer: "Nej, flyet er ikke her." (No, the plane isn't here)