Issai can fruit alone, but it still benefits from a partner. Issai can fruit on its own, but most hardy kiwi plantings still perform better with another compatible kiwi nearby and other hardy kiwi vines usually need a male pollinizer. It flowers in mid bloom, which is worth knowing if you add a second tree later. Usually grown in USDA zones 6-9.
No single variety stands out as the obvious partner, but that is not a problem here: 74-49 Male and Meader Male all bloom close enough to work. Pick whichever your nursery actually carries. Keep male and fruiting vines close together on the same trellis row or nearby supports so bloom overlap is easy to use.
One thing to keep in mind. Most hardy kiwis need at least one male pollinizer for nearby fruiting vines. Issai is the easier exception, not the rule. Can fruit alone, but another compatible kiwi nearby often improves the crop.
To put that into practice: at a minimum, plant one fruiting hardy kiwi plus one compatible male pollinizer, unless you are choosing a self-fruitful type such as Issai. Better still, grow one male hardy kiwi for several fruiting females, or pair Issai with another compatible kiwi for stronger crops. If you have a fruiting kiwi vine with no partner, add a compatible male pollinizer before blaming the vine for poor fruit set.