Select column by ordinal position

Is there any way to select columns by ordinal position rather than by name?

Something like

Select t.[1] as col1, t.[2] as col2

FROM table t

The question comes because of a very specific situation where I've got 2 databases that have exactly the same schema at a column/datatype level but the column names are different.   There are a few other ways to skin the cat but I'm interested if it can be done this way - without a join to syscolumns ;)

Chuck