Definitely. The secret? Experience.
Every fish species is different in terms of body build, energy level, and swimming performance:
Body build explains a lot of it. In general, the deeper the body the more that fish can pull, but this is often at the expense of speed or distance it will run. Bluegill is an extreme example. Narrow fish tend to be faster, swim more in a bee-line, and can be "turned over" with pressure quicker. (This also plays a role in what types of retrieves they are apt to respond to), and they are more apt to writhe or twist in an effort to pull free of the hook. Pike are an example.
Energy level is another. While LM and SM are similar in body shape, SM are often faster, pull harder, and take longer to subdue. I've caught tons of trout, and in the Great Lakes there were varieties of rainbow trout planted, that can be broken down into two main categories: "Steelhead" (anadromous ancestry) and Domestics (hatchery mixs with predominately land-locked ancestry). Hook each and you know nearly instantly. The deep-bodied domestics can not run as far or as fast, they wallow more and give up quicker. Steelhead are scary fast, can run long, and can leap eye level with you.
Then there are mid-body forms -not narrow, not deep, such as trout, walleye, and bass. Trout are faster than walleye and do a lot of writhing and shaking. Browns are notorious for "rolling", twisting. Walleye try to stay down toward the bottom and feel "head-heavy". Their bolts to bottom are bee-line and can be pretty sharp, but they give up pretty quick apparently due to energy level and body shape.
Then there are catfish... They are both laterally compressed (deep-bodied/flat-sided) and have a wide shovel-like head. When I hook one (not uncommonly on bass lures) I know right away. A large one can bolt and run, often with more speed than a bass. And then they can use that shovel head to stay down, especially when they are directly below you. I call them "cinder blocks with fins" at this stage.
Bullheads are pretty much cylindrical. They have a flat laterally compressed back third, are round for the front two-thirds, and don't have a lot of energy. They writhe, roll, and give up quick. "Yup, it's a bullhead." I've caught trout and bass with spinal deformities -as if they had a section removed from the mid-section making them short and rotund, and when I've hooked them I've wondered, "Bullhead?"
Then there are eels, the most extreme example of a long thin fish. They have no body depth to pull with, so they writhe wildly in a backwards direction. It feels like a whole lot of pounding, but they don't really go anywhere. "Eel!"
Here's a cool thing: Body length can be "measured" in the rod: When a long fish "shakes"/"writhes" (bc it can't counter your pressure as well as a deep bodied fish), your rod tip dips. The length of the dip is a good indication of the fish's length.
Something else comes into the mix too and that is the water body you're fishing. I may not always be able to tell a drum from a large bass, say, but if there are drum in the water body, I may suspect this one may be a drum. Drum however seem to be able to remain upright better (are more laterally compressed), and are a bit faster than bass, in my -more limited- experience with them.
Again, the secret is experience with lots of different kinds of fish.
Yes! Sticks can do that too, when hooked off center.