In the old days before three-prong grounded outlets, ground straps were considered nice, but not essential.
All that has changed. Today, the National Electric Code ( NEC ) has strict language for grounding.
Grounding is the norm. Redundant grounding and even double-redundant grounding is frequently called for.
It doesn't matter if you are running EMT or any metal jacket conduit, you must pull a ground wire.
Always check the National Electric Code. Grounding Codes are covered in NEC Article 250