Short answer: No. Commercial peach cultivation fails in Puerto Rico's tropical climate.
Peach trees (Prunus persica) are deciduous stone fruits that require a winter dormancy period triggered by accumulated chilling hours—typically 200–1,000 hours below 7°C (45°F), depending on variety. During this cold period, hormonal changes prepare buds for spring flowering and fruiting.
"Low-chill" cultivars (100–200 hours) like 'Flordaprince' or 'TropicBeauty' thrive in subtropical Florida or coastal California—but Puerto Rico's near-zero chill remains inadequate even for these.
Consider mango, guava, papaya, sapodilla, lychee, longan, or Barbados cherry—all delicious, productive, and perfectly adapted to Puerto Rico's warmth.