You can, though depending on how long your trip is, you may be carrying an awful lot of extra weight?
Not sure where you are going, but perhaps wiser to consider bringing some sort of sterilization method? We had one over nervous nelly in our group when we went to India who brought a Steripen and sterilized even her bottled water. Not sure that was necessary, but it made her feel better.
The big thing our Indian friend advised us was to be sure the bottles were actually sealed when we bought them as some end up, refilled and sold. (Lovely)
I will say by the end of two weeks (and inevitable less than sanitary contact on many levels) we gave up the overzealous thing and lived to tell the tale.