It could be argued that you could develop maximal strength and not be powerful but this would be highly unlikely. It would be difficult for anyone to explain how you can develop maximal strength without it affecting your power. Yes you can develop one more than the other but this is dependent upon the type of training you are doing.
This should be the point where I give the explanation of what power is versus strength but I am assuming since you are reading this that you know what it is. Power is the speed at which you move the weight and strength is just what weight is moved regardless of the speed. As a result the best thing for any aspiring athlete or strength aficionado to undertake is a program that can develop both. Many of you may of heard of the Westside training methods. This is a good example of that. You essentially train each major lift twice a week with one session focussed on maximal strength efforts in the range of 80%- 100% of your 1RM whilst the second session focuses on your power and you would be performing reps in the 40% - 60% ranges at speed. The other alternative is to undergo various macrocycles where for say a 3 month period you would work towards developing your total 1RM and then say for the next 2 months focus on your speed and power work. A sample training schedule that aims to develop both strength and power could look like this:
Monday
Squat - 5 sets of 5 to 3 reps working up from 70% to 90% of your 1RM
Romanian Deadlift - 5 sets of 5 at speed using 40% - 60% of your 1RM
Calf Raises - 5 sets of 10
Tuesday
Bench Press - 5 sets of 5 to 3 reps working up from 70% to 90% of your 1RM
Chins - 5 sets of 8 to 3 reps adding weight on belt as you go
Barbell Curls - 5 sets of 8 working in the 70% of your 1 RM range
Wednesday rest Thursday
Deadlift - 5 sets of 5 to 3 reps working in the 70% to 90% of your 1RM range
Squat - 5 sets of 5 to 8 reps at speed using weights in the 40%to 60 range of your 1 RM
Calf Raises - 5 sets of 10
Friday
Bench Press - 5 sets of a 5 - 8 reps range using weights in the vicinity of 40% to 60% of your 1 RM and also considering using bands for speed
Military Press - 5 sets of 5 - 3 reps working in the 70% to 90% range of your 1RM
Seated Row - 5 sets of 6 - 8 reps working in the 60% to 80% of your 1RM range
(if interested in Olympic style lifts consider supplementing the Romanian Deadlift and Deadlift with Powercleans and Snatches)
This type of program if followed correctly, ensuring you document in your log book (see previous entries on documenting your weights) the exact weights you are using and continue to add progressive resistance by adding 2.5kgs or so every week or 2 will definitely increase your size, strength and power.