have trouble doing和have difficulty in doing有区别吗？

意思一样，都是“做某事有困难”的意思，不过你写的结构错了应该是
have difficulty in sth=have difficulty doing sth
原句中的doing实质是前面有介词in，后面才变为动名词的。

have trouble (in) doing sth做某事有困难
have trouble to do不辞劳苦