throwing a halfling at an enemy

I am playing as a 2ft 6in halfling bard college of swords. I want to have a goliath barbarian in our party throw me at an enemy with my dual scimitars drawn. I believe this can be done. I asked my dm, who wasn’t sure but was willing to let me do some research and math to find out whether or not it will work. So my question is Can a goliath barbarian throw a 45lbs halfling into the air to attack and enemy?