Categorically false. Changes in the exchange rate directly affect the prices of the vast array of products traded on international markets. A drop in the dollar of 20% means a landed sticker price increase of 25% for things like soybeans, oil, plastics, pork, consumer electronics, most cloth and clothing, ... Too many products to name. After USA market adjustments by sellers and changes in buyer behavior like substitution, the dollar drop shows up in domestic inflation quite quickly. As it does, prices of strictly domestic goods and services rise as those sellers react to their inflation experience. And all of this shows up in TIPS adjustments.
Well "can" is a pretty squishy word. Looking at gold over a decade or two one can sometimes see correlation with inflation (but no separate exchange rate effects). Over shorter terms, gold prices are so manic that no one can discern any correlation with anything. Perhaps with the price of salt in Timbuktu?