Executive Summary: for insystem travel, TL 3. For interstellar travel, TL 6.
Insystem
TL 6 Rockets: fuel consumption to beyond 50,000 km = 2 x world size x payload. Assuming a payload of 10 tons and an earthlike world, fuel consumption is 2 x 8 x 10 = 160 tons. Time to orbit = world size in minutes = 8 minutes. I guess time to 50,000 km would be one combat round, or around 20 minutes. I don't know what the cost is. In the 60s, the Saturn V cost $400 million. So, let's say MCr 100 just for now.
Experimental TL 6 Rockets are produced at TL 3, at ten times the cost, and three times the volume. That makes it BCr 1, 480 tons of rockets (and their air, I assume), and 10 tons of payload.
Either the cabins are pressurized, or else each astronaut is in a primitive rescue ball which contains reclamation machinery and sleeves for working ship controls.
Magic maguffin needed: a handwave for purifying/scrubbing/filtering the air. Either a steampunk-like machine, or an organic technological analogue found on Mars or 3753 Cruithne.
Interstellar
For interstellar travel, the possibility exists at TL 6, with Experimental Jump Drives. The size and cost of Jump-2 drives, they will have a performance of Jump-1, and be one of a kind, custom, hand-made things. In other words, not enough of these to be useful, and certainly not reliable or safe. TL 7 and TL 8 are slightly better, with maybe a dozen of them in the hands of various labs or super-wealthy patrons.
All of this, of course, assumes that the research personnel know what they've got and how to use it. Canonically Terra didn't realize what they had until their prototypes actually started working.