Can a 6'1 athletic freak with average shooting skills still make it into a professional basketball team?

Imagine a situation where a player is 6'1" with excellent athleticism but average shooting skills. This player has focused a lot on explosiveness, conditioning, ball handling and defense, and can contribute to those areas on the court.

In this hypothetical scenario, can someone like this still make it onto a professional basketball team, not necessarily the NBA, but maybe in lower leagues or overseas? How much do coaches value physicality, defense, and overall athleticism over shooting in the recruitment process? Any advice for a player in this situation?