My first intuition would be to say no.

If I remember correctly a main issue in aerodynamics is the formation of vortices and the behaviour of the boundary layer of the gas/fluid. Since the particles are much too far away from each other in interstellar space I doubt that they could interact enough too form a vortex.

Another point I just looked up is the drag equation. So the drag force is F=(density)*velocity^2*geometric factors. The geometric factors are where the aerodynamics comes in. The density of interstellar medium is about 10^6 molecules/cm^3. Air has about 10^22 molecules/cm^3.

So to get a drag similar to air you'd have to go 10^8 times faster than your average aircraft (probably even more, since air is composed of heavier elements than interstellar medium, I would say roughly 10 times as heavy).

With these numbers I would guess you run into relativistic problems well before aerodynamics comes in.

EDIT:

It just occurred to me that a better way to compare the situations would be too look at the respective

Reynolds numbers. The Reynolds number is a dimensionless quantity that is used to check if two situations have the same hydrodynamic (or aerodynamic) behaviour (e.g. if you want to build scale models of planes and learn sth about how the real ones behave you adjust the flow to the dimensions of the model until you get the same Reynoldsnumber). In contrast to the drag force above it doesn't assume some specific flow pattern (I think) and includes the viscosity of the medium.

The downside here is that one needs to estimate the viscosity of the interstellar gas. I found a

paper that gives an equation for this, but I just took the equation and didn't read where it came from. This would put the viscosity at 4K at about 10^-9m^2/s or roughly 10^-3 times the viscosity of air at 300K. With the estimate of the density above this would mean that the velocity would have to be about 10^14 times higher in space than the standard plane speeds (or cars, it doesn't really matter any more with these numbers). This is much higher than the previous estimate is that it includes viscosity and drag. Using 100 kph as a reference speed this would mean that your spacecraft would need to go much faster than even the speed of light.

EDIT2: I'm not sure how hydrodynamics needs to be modified at relativistic speeds, so maybe there are some effects that make aerodynamics kick in much earlier.