It depends on what country you're referring to, but yes, most countries whose currency is called dollars mint coins with that denomination.
The US is the lone exception to having a widely-circulating $1 coin. At this writing (2015) $1 coins are being minted only for sale to collectors. The reasons are a combination of politics and American resistance to change. The company that has a monopoly on making paper for $1 bills successfully lobbied the US Congress to prevent discontinuing the $1 bill; in addition, the first attempt to mint a small-size $1 coin failed due to political meddling that soured the general public on the idea of using any kind of dollar coin.
No! The last gold US one dollar coin was made in 1889.
No US 1 Dollars coins were minted in 1907.
No US dollar coins were minted in 1983.
Yes, they're still being minted. Business strikes are produced in Philadelphia and Denver, with proofs for collectors minted in San Francisco.
There were no dollar coins minted that year.
There's more information at the Related Question.Two-dollar bills were never MINTED. Only coins are minted. Bills are printed.
Philadelphia
Yes, there used to be a gold dollar. There were three designs minted between 1849 and 1889. It was one of the smallest coins the US ever minted.
No US dollar coins were issued in 1809.
No such thing. There were no dollar coins minted that year.
No. There no dollar coins minted during the years 1936-1970.
Probably still one dollar. The only ones worth more are the silver or proof coins minted in San Francisco.
Quite simply, there were no US dollar coins minted that year.