Indirectly, yes.
A 3d model is a collection of polygons*. The less polygons it has, the faster it can be rendered by a 3d engine. That means a 3d modeling program for game development should assist the artist in creating good looking 3d models with the fewest number of polygons possible. On the other hand, a software which focuses on use-cases where image quality is the primary goal and rendering time is just of secondary concern (like CGI effects for a movie) can be much more wasteful with the polygon-count.
The difference might not be apparent with a test-case as simple as a box. I would dare to say that any 3d modeling tool which uses more than 12 polygons to create a box-primitive (2 triangles to form each of the six rectangles) would be quite strange.
But it might be more apparent when it comes to approximating round shapes with polygons. You can not create a perfectly round shape with a polygon-based 3d model. When you want something round in a game, you need to approximate the shape with a large number of polygons. How many you need to make it appear round-ish enough depends on how large the object is going to appear on the players screen in the finished game. This is something the 3d modeling software can not anticipate. The artist has to make this decision during the design phase.
An inexperienced 3d modeler who just clicks on the "make sphere" tool might not realize that it causes the program to create a much higher number of polygons than necessary. An experienced 3d modeler might notice the problem, but might have a hard time to convince the program to use exactly the number of polygons they want and eventually just give up and have the program have its way to meet the deadline.
A good 3d modeling software for games might also provide tools to automatically reduce the polygon-count of a 3d model without notably affecting its appearance while another software might offer no such tool or only tools with worse results.
*) In practice, a 3d model is often a lot more than just polygons. Different kinds of textures, animation bones, etc.. But everything I wrote about polygons also applies to these aspects.