Generally - that would be the ideal solution. With that said, SQL Server will update statistics automatically as needed throughout the day - but that could in some circumstances cause even more issues. When SQL Server performs an auto update of statistics - it will use the default sampling rate and that may cause a less than optimal execution plan to be generated.

Whether or not this has any affect will be determined by the index/column in question.

All this comes down to is - in general, yes - updating statistics after hours is the best, but if you have issues on specific tables you may want to consider updating those statistics more often.