-NOTE: As far as I know, which isn't a lot, ST didn't not influence Halo but I'm just trying to make of a comparison, albeit a shitty one]-
Untrue, lets think about this a second.
1) Space warfare versus an alien race bent on destroying humans
2) Power armour/powered exoskeletons
3) Drop troopers
4) Still using bullets and conventional weaponry in a future setting
5) Unified global armies against a common foe(okay Halo is galactic scale but you get my point)
Starship Troopers is one of THE definitive sources of inspiration for futuristic warfare in science fiction of all mediums, games included. In fact this is one of the things Halo uses the most in terms of its inspiration.