Many gardeners wonder whether they can graft a peach branch onto an apple tree to create a multi-fruit tree. The short answer: it won't work. Apples belong to the genus Malus, while peaches fall under Prunus. Although both are members of the rose family (Rosaceae), they're too distantly related for their vascular tissues to fuse successfully.
For a graft to take, the cambium layers of the scion and rootstock must align and knit together. This only happens between closely related species—typically within the same genus. Apples graft reliably onto other Malus varieties, such as crabapples. Peaches, on the other hand, are compatible with other Prunus species like plums, apricots, and almonds.
If you're interested in experimenting with fruit tree propagation, there are excellent resources available that cover compatible pairings, techniques, and timing for successful grafts.

apples
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Cherry Tree Root Damage from Pool: Prune Dead, Fertilize
Historic Apple Tree Cavity: Leave Open, Boost Health
Seed-Grown Apple Tree: 10-Year Wait for Fruit
Cherry Tree Decline from Soil Grade Change
Apple Seedlings: Will Grow Into Trees, But Fruit Quality Is a Lottery
Broken Dracaena marginata: Propagate the Top, Regrow the Bottom
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