Yes, a bit of observational prowess can help us determine the playstyle of that player and better determine what those "aggressive" bets mean. Some possible routes:
-This is a Tight-Aggressive (TAG) player. These players will be playing fewer hands and value betting aggressively when they do have a strong holding. On average, this player will have better showdown value hands because they are tighter preflop.
-This is a Loose-Aggressive (LAG) player. They will be aggressively betting more frequently than a TAG because they are playing more hands preflop (when a TAG player would likely fold). These players are not necessarily maniacs playing any two cards though. A strong (winning) LAG player is probably utilizing aggression, position, stack size and factors like this while still playing hands with generally decent postflop playability. Perhaps a LAG will include to play hands like AJo or KTo when based on the situation a TAG (and especially a NIT) would surely fold.
-Donk or Donkey player; let us not forget that aggression alone doesn't mean they have a good strategy. Some players aggressively spew chips by aggressive bets and raising. If they are successful, then it is only because their table doesn't know how to properly adjust to this way of playing. A Donkey player will be betting when behind and doing weird plays that don't seem to make sense (like maybe check-raising on a 9-high board - I don't think a logical hand like AA or AK is doing this too often xD).
Lastly, we must try to figure out what the opponent(s) bets mean or intend. Are they betting for value? A bluff? A c-bet just because they are taught to do that, but not fully knowing why? Similarly, another tip to help determine the type of player is bet sizing. From a math perspective, bigger raises should mean the player is playing less hands (good stuff like AA and few or no bluffs) and more frequent bets that are on the smaller side typically means a wider range of hands (perhaps hands like 98s or A5s in addition to the stronger holdings). If someone is raising small but rarely or big and often, then I'd be more suspicious that this is a tricky opponent or someone who doesn't know what they are doing.