You could load the whole file in at once and split it by newlines as follows
Sub read_whole_file()
Dim sFile As String, sWhole As String
Dim v As Variant
sFile = "C:\mytxtfile.txt"
Open sFile For Input As #1
sWhole = Input$(LOF(1), 1)
Close #1
v = Split(sWhole, vbNewLine)
End Sub