It does. On the normal mode, you run out of ammo when you're almost half way through the game. But till you reach the end, you'll have ample cash to go shopping and get your suit pimped up. This would translate into more inventory slots being assigned and hence you can stock up on more ammo. Just be sure to stomp every single nero you slaughter, yes, that includes the babies too. Grab a hold of all the semi-conductors you can find and sell them off at the store. Sell off the ammo of weapons which you don't have. If you don't use stasis a lot, then sell those packs.
There a lot of instances when my Plasma Cutter & Line Gun used to run out of ammo. Those were to 2 weapons I used, nay, abused throughout the game. Towards the end, I got myself the 'Ripper'. This weapon proved to be very useful for close encounter and slice those suckers. The Pucker was the only Necromorph who was able to stand out from this weapons attack. He has a long range acid spitting ability and hence, the gun isn't very useful for it. Any-hoo, keep upgrading your weapons damage on the bench and you'll do fine.