Yes in principle, except USA has very low export of goods compared to the size of the economy.
So it will stimulate exports some. But despite the decline of the dollar happened already this year, the export of goods has declined anyway. Because Trump is a moron and has made everybody angry with USA.
The weak dollar has NOT increased exports, but together with tariffs it has caused inflation to be a higher than it otherwise would have been. And the weak dollar is caused by a lack of capital influx (investments) to USA, and less investments means fewer new jobs.