Just take a second to think about that. 1913. The Romans could not have made such a jar. They lacked the material science. Things like this amaze me. A Ball jar is a simple item from my daily perspective. It is in reality a fairly advanced piece of material science.
So if you ever get flung back in time, probably your best best is evaporated sea salt. Then work your way up into simple cosmetics. You don't have the ability to create the supply chain necessary to create canning.
To be fair, Romans not only mastered glass manudacturing (which in itself pre-dates them), they more or less invented (or however the material was first made during their period) "transparent glass" and - more than that - they invented "pressed glass", i.e. they were among the first to be able to mass produce glass objects, by blowing glass into pre-made moulds, JFYI:
So, they would have been able to produce glass jars alright and would have probably used (like it was done for wine and amphorae ) "sealing wax" together with cork (and/or some resins):
Dunno if the Romans couldn't have made it (their glassware was startlingly good for what we imagine was possible then, if you do a simple image search) but pre-Pasteur, people wouldn't have have conceived of a vacuum seal formed by heat and pressure as a food preservation technique worth pursuing.
Nor could they have made a rubber for the seal. They didn't have access to the plants (Nazi's tried to use the only source that would have been available at the time to the Romans and failed [1]). Think of the supply chain required to get rubber plants from Asian or the Congo to a Roman city. Carthage would have had a hard time too.
Even if they had rubber in enough quantity, they'd have to vulcanize [2] it to make it work. That was years, centuries beyond them.
True, not out of rubber. But remember that air-blocking seals were important for the control of the fermentation process in wine production and preservation, and it's not beyond possible that they could have refined cruder pitch and resin based solutions if germ theory had been better understood then.
So if you ever get flung back in time, probably your best best is evaporated sea salt. Then work your way up into simple cosmetics. You don't have the ability to create the supply chain necessary to create canning.