The only tool (I think) in the current toolbox would be XY table to Line.
But for that to work you need a FromXY and ToXY in the same row of each record.
So, what I would do would be a little MS access magic.
Get your point data into a pgdb (access).
Use AddXY or Calculate geometry to get 2 columns in the attribute table of the XY coordinates.
Open the db in access.
Create a query by adding the attribute table twice with no join.
If you view this you will see you have a cross join where all records are linked to all records.
Filter this so you don't have A -> A.
In the output make table query, do some column name changes so you have columns like FromX, FromY, ToX, ToY etc.
Bring the new table into ArcMap and use the XY table to Line tool.
Be aware that if you have a lot of input records, the cross join will create input record length ^ 2 output records.