previous DATE and operation IN HP/UNIX

It's possible make a add/Subtracttion a day with command DATE with a command similar a GNU/LINUX???

ex. date --set '10 minutes' ( return the same date minus 10 minutes)

it's possible make this operation in HP/UX???

By default no. See the section on date calculations in the Answered to Frequently Asked Questions forum to find the script written by Perderabo called datecalc.