No, it does not have that meaning.
The word "falling away" is apostasia from where we get the words Apostate and Apostasy. Obviously it means a moral and spiritual "departure" not a physical departure.
G646
a?p?stas?´a
apostasia
Thayer Definition:
1) a falling away, defection, apostasy
Part of Speech: noun feminine
A Related Word by Thayer’s/Strong’s Number: feminine of the same as G647
Citing in TDNT: 1:513, 88
Total KJV occurrences: 2
The only other use of this word in the bible was people departing from the teachings of Moses. Neither use has anything to do with simply going somewhere physically.
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From Liddell and Scott:
A defection, revolt, v.l. in D.H.7.1, J.Vit.10, Plu.Galb.1; esp. in religious sense, rebellion against God, apostasy, LXX Jo.22.22, 2 Ep.Th.2.3.
They specifically cite 2Th 2:3 as being a defection "in religious sense, rebellion against God".
2Th 2:3 Let no man deceive you by any means: for that day shall not come, except there come a falling away (apostasia) first, and that man of sin be revealed, the son of perdition;