No. Truth is an absolute, not a function of perception. Mormons are firm believers in an absolute truth, regardless of what ones personal beliefs or perceptions might be. Truth is independent of people's opinions - for example, if nobody believes in God, that doesn't mean He ceases to exist.
Check out the "Related Links" below to see some resources regarding what Mormons say about what truth is.
Another answer:
Belief is a function of perception and perspective; truth is not. I can believe a thing is true; you can believe it's false. Neither belief impacts truth.
"Actual truth" and truth "in reality" (your terms) are synonymous.
Related links:
* Spencer Kimball on truth (byu.edu): speeches.byu.edu/reader/reader.php?id=6169
* John Taylor on truth (lds.org): lds.org/manual/teachings-john-taylor/chapter-23?lang=eng&query=truth+eternal