To find files modified at least 5 days in the future, use:
find . -newermt "5 days"
The syntax for the time specification corresponds to the one for date -d. See man find for info on the switch named -newerXY for more information.
It is not possible to use e.g. -mmin to do this. It was reported as a bug against GNU find, and was solved by implementing -newerXY in findutils 4.3.3 (~2007) as I showed above.
Apparently it was not GNU find that was used, but BusyBox.
You should then be able to create a temporary file with touch -d and a date in the future and then use the -newer switch for find such as:
touch -d "+5 days" tmpfile
find . -newer tmpfile
BusyBox touch does not support that date format, but the principle is the same and its find supports -newer. Creating the reference file with a correct date is left as an exercise for the reader (always convenient to write).