yes it is possible! you can equip up to 11 perks by not using your lethal and equipment and spend it on perks..
for example:
agility 2points
sleight of hand 2 points
marathon 2points
scavenger 2points
ready up 1 point
strong arm 1point
on the go 1points
total of your perks 11 points, without lethal and equipment and secondary weapon