Adding to DataGridView by column or cell

Question

Is it possible to add unbound data to a DataGridView by column/cell rather than by the whole row so that the next empty cell in a column is filled similar to this in excel

ActiveSheet.Range("A100").End(xlUp).Offset(1, 0).Select
Selection.PasteSpecial Paste:=xlPasteValues

This is what I've been doing for each button click

Private Sub Button1_Click(sender As Object, e As EventArgs)
  Button1.Text = Label1.Text
  Me.DataGridView1.Rows.Add(Button1.Text, "", "")
End Sub

Private Sub Button2_Click(sender As Object, e As EventArgs)
  Button2.Text = Label2.Text
  Me.DataGridView1.Rows.Add("", Button2.Text, "")
End Sub

Private Sub Button3_Click(sender As Object, e As EventArgs)
  Button3.Text = Label3.Text
  Me.DataGridView1.Rows.Add("", "", Button3.Text)
End Sub

and then deleting the blank cells in excel

At the moment it results in three rows rather than one row Adding a new row each time one of the buttons is pressed

Edit:

What I was hoping for was to have a number of buttons associated with each column (Button 1 & 4 with column 1, 2 with 2 etc).

If the user pressed button 1 2 times and button 4 3 times it would fill column 1 5 times. Then when button 2 was pressed it would fill column 2 but start in row 1 rather than a new 6th row same for button 3.

So in the end it would be a row where all 3 columns are filled in the row rather than just one column with two blanks.

I did have it as labels that were added when a submit button was pressed but that meant that the buttons still had to be pressed in a sequence that filled column 1, 2 & 3 before they were submitted

New Outcome

Any help or pointers greatly appreciated