I have been seeing this craze of adding strange dof to digital photos which makes items look miniature and I was wondering if this is a technique that can be replicated while printing traditionally?
Sure, I have been doing this for some time. You can do it not only to play with apparent DOF but also to correct perspective.
Here is an example; in this case, a colour slide was enlarged to b&w film...
Original slide (sorry for the bad scan)
(there was a url link here which no longer exists) (from a b&w dupe of the colour slide. This is a really lousy shot of a large print that I couldn't scan)
For perspective correction, you can just incline your paper if you wish, and stop down a lot (if you don't want so much OOF blur)
Another example, also starting from a colour slide; in this case a minor tilt was applied to put a little bit more emphasis on the subject:
(there was a url link here which no longer exists)
(there was a url link here which no longer exists)
These examples aren't so good, it isn't something I have done much of, but it is really straightforward.
Note that when contact printing an LF neg, you can easily lift the corners of the neg one way and then another, during exposure. Thus you can get all kinds of focus effects. You can of course also tilt the paper or the enlarger head etc.
Experiment and have fun.