Twins of primes with one distinct prime factor

Is it possible to prove that there are infinitely many primes p,q such that
p+2=q^j for some integer j? IE, are there infinitely many primes such that p+2 has one distinct prime factor? It seems highly likely and even more so if you consider Chen's theorem. I don't want to assume the twin prime conjecture...it would be trivial if I did.