可以这么说，但是一般人听不懂你表达的是什么意思。很有文学色彩的。 可以这么说： 我1990年买的这个画。 这个画从1990年就开始挂在那里了。

在一九九零年，我挂着了这张画

about time usage 1 at sometime, in Chinese we usually put time before sentence or verb, like "一九九零年我把这张画挂在那儿。" or " 我一九九零年把这张画挂在那儿“ 。 在 most of the time add a place, especially in sentence with 把。when 在 follow a time， most of the time, it is emphasis, like " 事情发生在一九九零年” 2 for some period of time, in Chinese add the time after 了， like 我把这张画挂了两个小时。(the picture hung for two hours) 我挂了两个小时的画。（it took me two hours to hang this picture）我看了两个小时电影。So no 在 will use here, and the time is after 了,before object.

your sentence is wrong in oral Chinese. can u express in English? then we can help you.

What do you exactly want to express?