Not domestically. If the dollar had been gaining strength, the price of everything domestically would be getting cheaper.
The problem comes with the fact that the US dollar being the global currency of trade, means that everything is originally priced in US dollars, so the strength or weakness of the US dollar does not change the price.
Furthermore the US is somewhat self-sufficient in terms of trade in key inflation areas such as food, so the dollar is ending up hurting exporters and reducing corporates profits.