Yes it can, and it will probably be as a result of volts drop over such a long length. There is a simple test for you to check this. Run a mains power extension to near where you have the camera operating, then use the same power adaptor but with a small, say 2m, or less, USB cord. Does it work as it should? If it does, the power supply you have is adequate, the cable is not.
Look up volts drop over USB leads on Google, and you will find some handy tables, based on quality, or thickness of the conductors in typical USB cables. Increasing the supply to 2A will not help this, unless your 1A one is also borderline as a source voltage, and also drops a little as you try to draw current when the camera is active, making the situation worse, and dropping you below the operating voltage. Unlikely, so see what happens with the test above. I expect it will work perfectly with a 2m lead, and the mains power nearby.
Once you have your answer, you can plan alternatives from there.