Absolutely not! What’s in your water bottle is less important than where it came from. The best bottles are made of glass, because they do not add any pollutants to the water when it’s in contact with them; this includes BPA-free plastic bottles.
1) Buy a straw lid if you are required to press down on the top to drink. Pressing down on the top cracks the seams and could leech chemicals into your drinking water.
2) You needn’t spend lots of money or even much time shopping around for one – find an inexpensive one that feels comfortable in your hand and has a spout near enough to your mouth that you can enjoy convenient hydration anytime, anywhere.