Great question - The answer is what is called Trail Braking. The short of it, yes you can. The key is as you lean more your gradually release the brake until apex then you gradually roll on the throttle.
Per Nick Ienatsch and Keith Code:
In applying this technique, motorcycle riders approach turns applying both front and rear brakes to reduce speed. As they enter the turn, they slowly ease off the brakes, gradually decreasing or "trailing" off the brakes as motorcycle lean increases. This is done for several reasons. First, this gives more traction because the front tire is forced into the pavement under the weight of the vehicle. Second, as the brakes are applied and the weight shifts forward the forks are compressed. The compression of the forks changes the motorcycles steering geometry, decreasing stability in a way that makes the motorcycle want to lean and change direction. Thus, trail braking can be used as method used to help the motorcycle change direction.
Additionally, decreasing speed decreases the motorcycles cornering radius, while, conversely, accelerating while turning increases the motorcycles cornering radius. Traditionally, trail braking is done exclusively with the front brake even though trailing the rear brake will effectively slow the motorcycle, also decreasing the turning radius.
Finally, trailing off the brakes while entering blind or tight corners allows the rider to slow if something unexpected blocks the riders path. Because the motorcycle is already on the brakes and the front tire is getting additional traction from already slowing, the rider can slow even more with very little risk. However, applying the brakes after the motorcycle is already leaned over can be exceedingly risky because there is, relatively, very little weight over the front tire increasing the chances of losing traction.
This technique is commonly used when racing, but can enhance control and add more evasive options for street riders making it very worthwhile to learn or at least understand.
There is a high degree of inherent risk with trail braking; excessive use of the front brake can result in a loss of grip as the tire's adhesion is split between braking and cornering forces. Effective trail braking requires a high degree of finesse from the motorcycle operator and has a very steep learning curve for riders wishing to learn and adopt this technique.
It is generally agreed upon that the safest way to approach a corner on a motorcycle is by performing all of the slowing before the entrance of the turn, discouraging the use of any brakes while the motorcycle is leaned over. Opponents of trail braking claim that because of the steep learning curve trail braking is or should be an exclusively race track or racing technique. However, proponents of trail braking believe that knowing and understanding how to slow while entering a corner gives the rider a greater safety margin, particularly in blind, decreasing radius or downhill corners.
Two highly accredited motorcycle riding schools are effectively split on the implementation of trail braking. Keith Code, founder of the California Superbike School teaches that the only way to turn a motorcycle is with countersteering and that riders should accelerate throughout the corner for optimum motorcycle stability. Freddie Spencer, founder of Freddie Spencer's High Performance Riding School teaches that trail braking should be used in most every corner as a means to make the motorcycle change direction, advocating that trail braking gives the rider more control and significantly increases rider safety.