Have you tried like this:
Code:
Option Explicit
Sub copyfiles()
Dim m As Variant
Dim FileName As String
Dim FileType As String
FileType = ".txt"
For m = 2 To 4
FileName = Cells(m, 1).Value
FileCopy "C:\Users\roberto.rodriguezram\Desktop\Source\" & FileName & FileType, _
"C:\Users\roberto.rodriguezram\Desktop\Destination\" & FileName & FileType
Next
End Sub