You can, but it's pointless. It will take very little ph down to change plain water's ph because plain water doesn't have the ppms/buffers to hold ph. What that means is, water doesn't have much "ph power" (for lack of a different term) to pull the soil's ph to it. The soil will pull the water's ph to it with similar ease (as adding a drop or two of ph down).
If it makes you feel better to adjust plain water's ph, go ahead and do it. But, leaving it high isn't going to do much. Considering soil's tendency to acidify due to salt buildup, etc., a weak 7.0 water would be better than a weak 6.5. But, like I said, it doesn't matter much because it's weak (no buffers). The soil will hold its ph more than weak water will hold its ph.