chief
chartered (BrE), qualified, skilled, trained
You need the advice of a qualified engineer.

consultant, consulting
aeronautical, aerospace, aircraft, flight
automotive (esp. AmE)
electrical, electronics
computer, software
recording, sound
manufacturing (esp. AmE)
civil, highway, mining, railway (BrE), structural
city
design, production
project
agricultural, chemical, marine, mechanical

build sth, design sth, develop sth
engineers who designed and built advanced military aircraft

qualified, skilled, trained
maintenance (esp. BrE), service, support
We were on the phone with a technical support engineer.

heating, lighting, telephone (all BrE)

call in, call out (both BrE)

brilliantly, carefully, deliberately
She carefully engineered a meeting with the chairman.

seek to, try to

carefully, finely, precisely
superbly, well
The car is superbly engineered and a pleasure to drive.

specially, specifically (esp. AmE)
This heavier-weight paper is specifically engineered for inkjet printing.

socially
genetically
genetically engineered plants

Engineer is used with these nouns as the object:
coup