The way I performed this in the past was to create one table, but erase the
rows in between the two tables. You can erase horizontal and vertical lines
with the "borders" button. You can then merge the cells between your "two
tables" and type text in that space.
As suggested by the other replies, there are two basic options:
1. If you want two tables side by side and the rows do not need to be (or
need not to be) the same height, then create a two-column section (Format |
Columns) and insert a table in each column.
2. If you want the rows to be the same, create a single table with an empty
column in the middle, applying borders (if desired) only to the filled
cells, leaving the center column without borders to create the appearance of
two separate tables.