Sure, that's completely acceptable in American English. For example:
I visited Thailand twice. Once in November and then again in April.
(I'm incorporating the points from the comments into a revised answer)
You can use the simple past even if you remove the word "twice":
I visited Thailand. It is a nice country. You should visit it.
However, in American English, we typically use go instead of visit. Visit sounds extremely formal. So it would be:
I went to Thailand. You should go there, too.