I usually use Update and Join (or jsl) for VLOOKUP-like work in JMP.
But here's a way to do to it with a column formula:
:height[Minimum(
Data Table( "Big Class.jmp" ) << get rows where( :name == "ROBERT" )
)]
The example is based on the Big Class.jmp sample data table. It returns the height of the first ROBERT in the name column. Just paste the code into the Formula Editor.
However, note that the table name must explicitly given in the formula for it to work. And if rows are added/deleted or cell values change this type of formulas that use jsl commands not found in the Formula Editor may not automatically update. If so, the "Apply" button in the formula editor needs another click.