Yes you can do that. Just use a variable as a flag. Since non-volatile variables are set to 0 when powering up, use a code section at the beginning to skip over your entire code until the flag is set to 2, like this:
IF Variable #1 = 0 //if set to 0
THEN Timer #1 = 1 //start timer
THEN Variable #1 = 1
IF Timer #1 becomes > 60 //60 seconds later
THEN Timer #1 = 0 //stop timer
THEN Variable #1 = 2 //normal running state
IF Variable #1 is NOT = 2
THEN Skip to (highest line number you have)
get the idea? The thing about setting variable #1 to 1 initially is to avoid having the first two lines restarting the timer over and over.
"If you don't know what you're doing, do it neatly..."