attiny13a SMD production programming without programming jumper? Possible?
You likely want something like a Tag-Connect:



They're available in 6 and 10 pin versions, with and without the plastic retaining clips.  You can find them at places like Digikey.  They are not cheap ($35), but you'd only need to buy a couple to program a ton of boards.

As a side note: I think when you say "jumpers" you really mean "headers".  Headers are the pins, jumpers are usually blocks that short pairs of those pins.