It can't be done without macros. It can be done with a macro, based on your example. However there can be no split or merged cells and the selection must be contiguous.
Code:
Sub PasteContinuous()
'Graham Mayor - http://www.gmayor.com - Last updated - 25/11/2016
Dim oRng As Range, oRng1 As Range, oRng2 As Range
Dim Coll As New Collection
Dim oCell As Cell
Dim i As Long
If Selection.Information(wdWithInTable) Then
Set oRng = Selection.Range
For Each oCell In oRng.Cells
Set oRng1 = oCell.Range
oRng1.End = oRng1.End - 1
Coll.Add oRng1.Text
Next oCell
Set oCell = oRng.Next.Cells(1)
Do
On Error GoTo lbl_Exit
For i = 1 To Coll.Count
Set oRng2 = oCell.Range
oRng2.End = oRng2.End - 1
oRng2.Text = Coll(i)
Set oRng2 = oRng2.Cells(1).Range
Set oCell = oCell.Next
Next i
Loop
End If
lbl_Exit:
Set oCell = Nothing
Set oRng = Nothing
Set oRng1 = Nothing
Set oRng2 = Nothing
Set Coll = Nothing
Exit Sub
End Sub