Sometimes. Generally, we hire for the skills we need to meet typical client needs. But, once in a while, a client needs a certain skill or experience emphasis, or we need a lot more people than usual to staff a big project. In those cases, we might recruit with a client engagement in mind.
Related Reading

Strategic Icebreakers Make Better Meetings
Establish the right mindset, context, and emotion up front for more productive meetings.

7 Features of a Great Change Management Partner
What government agency prime contractors should look for in a change management partner.

Change Management for International Organizations
Multiple regions and cultures mean more complexity for your change initiative.