Not really, because of accent differences. The best you could do is account for all phonemes distinguished across standardized varieties, regardless of their phonetic realization. Of course, you couldn’t possibly account for all of them (e.g. distinguishing the Australian /æ/ vs /æː/ would be troublesome for British and American speakers).

Hīr’z æn icsperimentăl sistăm ðæt s̄ūd würc ăcros SSBI (SSBE) ænd DĂ (GAmerican). Æz jū cæn sī, homăfounz ār spelt aidenticăly, wīc fōrmz ārn’t rităn æt ōl, ænd plein vauălz ār dz̄enărăly jūz’d wið ðēr Roumæns saundz.

Strüt-Fut-Gūs-Cjur-Für Cit-Flīs-Nīr-Fir-Hæpy Dres-Feis-Scwēr-Fern Træp-Mauþ-Prais-Baþ-Pām-Stārt Cloþ-Ts̄ois-Löt-Þōt-Nōrþ Cömă-Letăr (tuc ðæt wün from Roumeiniăn)