You can by going to mystery islands. But the odds of finding non-native fruit is about as good as winning the Power Ball in real life. I don’t think you can. You start with one, mom gives you another, you can find coconuts and there an island of another fruit but I don’t think there an island of other fruits besides the native and one non native.
How to Get Other Fruits in ACNH (Animal Crossing New Horizons) To get other non-native fruits or Foreign fruits, you have to travel to other islands and dig up the fruit trees from there. You can easily pick up the trees with the help of a shovel but only after eating a fruit.
There are two ways to get new fruits that you don’t have on your island yet. Travel to other islands by using Dodo Airlines – occasionally on such an expedition you will find a new tree. You can also get new fruits when you get to an island full of tarantulas or stones which drop money.
There are people that have said they have found other fruits on island besides your fruits that you listed. Yea but it seems few and far between that I find foreign fruit on nook islands. Best way is online, but you’ll eventually get what you need from the mystery islands.