Looking on the internet deeply has found these results:

there is a potential is the most popular phrase on the web.

there is a possibility 11,120,000 results on the web	there is a potential 172,100,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
?????, ????, ???, ????, ???????. ??????????? ? ????? � Weblio ?? > ????????? > ?????? > there is a possibility??????. ?????. ?????????????????ADJUST?. ?????�... (There is a possibility that they abandoned the battle because of Yoshihide's death by disease.) ????????????? ... Therefore, there is a possibility that it was relocated to the front (south, shimoza (lower seat)). ?????????? ??�... ???????????????????????????????????????( possibility)??????There is???????"There is a possibility that ?"?????? ????????????"???may" ??????????????????? ?????, ????, ???, ????, ???????. ??????????? ? ?????. Weblio ?? > ????????? > ?????? > There is a possibility to. . .??????. ?????. ????????????????? ADJUST?.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

there is a possibility

11,120,000 results on the web

there is a potential

172,100,000 results on the web

More popular!

?????, ????, ???, ????, ???????. ??????????? ? ????? � Weblio ?? > ????????? > ?????? > there is a possibility??????. ?????. ?????????????????ADJUST?. ?????�...
(There is a possibility that they abandoned the battle because of Yoshihide's death by disease.) ????????????? ... Therefore, there is a possibility that it was relocated to the front (south, shimoza (lower seat)). ?????????? ??�...
???????????????????????????????????????( possibility)??????There is???????"There is a possibility that ?"?????? ????????????"???may" ???????????????????
?????, ????, ???, ????, ???????. ??????????? ? ?????. Weblio ?? > ????????? > ?????? > There is a possibility to. . .??????. ?????. ????????????????? ADJUST?.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.