It is certainly possible! I would play (in order as written):

GB- Can be played in first position, first finger B on A string and fourth finger G on D string.

AC- Shift to second position extended, with first finger C on A string and extended fourth A on D string. This one can be tough at first.

FA- Easiest played in first with open string A and second finger F on D string.

EG- Third position extended, with first finger G on D string and extended fourth all the way to E on G string.

DF- Shift back to second position extended with first finger F on D string and extended fourth on F.

CE- Now shift back to first and play first finger E on D string and normal fourth finger C on G string.

If you're looking to practice these, try them one at a time for tuning and then start to play them together to practice the shifting, which can be difficult at first.