Subscript out of Range would raise on that line if the required file is not already open.
Since it seems unlikely that you would already have 11 files open, you probably need to use the Open method to open the necessary workbook inside your loop.
Set wb2 = Application.Workbooks.Open(filenum(lngposition) & ".csv").
Updated your code
Sub importData2()
ChDir "C:\Users\Desktop\Java"
Dim filenum(0 To 10) As String
Dim wb As Workbook
Dim sh1 As Worksheet
Dim rng As Range
Dim wb2 As Workbook
Dim sh2 As Worksheet
Dim rng2 As Range
filenum(0) = "052"
filenum(1) = "060"
filenum(2) = "064"
filenum(3) = "068"
filenum(4) = "070"
filenum(5) = "072"
filenum(6) = "074"
filenum(7) = "076"
filenum(8) = "178"
filenum(9) = "180"
filenum(10) = "182"
'## What workbook is this referring to?? This might cause problems later...
Set rng = Range(Selection, ActiveCell.SpecialCells(xlLastCell))
Set rng2 = Range("A69")
Set wb = Application.Workbooks("30_graphs_w_Macro.xlsm")
For lngposition = LBound(filenum) To UBound(filenum)
Set wb2 = Application.Workbooks.Open(filenum(lngposition) & ".csv")
Set sh1 = wb.Worksheets(filenum(lngposition))
Set sh2 = wb2.Worksheets(1) 'A CSV file only has 1 worksheet.
sh2.rng.Copy Destination:=sh1.Range(rng2.Address)
Next lngposition
my_handler:
MsgBox "All done."
End Sub
