Having the Possession for Less upgrade will help, but is not needed as you will have plenty of time to do this. You will find different machines you can possess throughout the game. These machines are as follows:
Possess them and if you want, aid by using other powers of means of distraction. The possession will not last very long at all or the enemies will destroy it quickly. If you find one that is near a checkpoint, you can continue to reload and keep using the same one. The progress will save it as long as you later get to a different checkpoint.
Possession is the first vigor you acquire.
NOTE: The Gun/Rocket Automation is the best one to possess in terms of time possessed and damage done. Followed closely by Mosquito.