Would the 49 cm bike be okay for someone small like me (5'3)??

Tech Specs:

Frame Material:

steel 

Dropout Type:

rear-entry horizontal 

Headset:

Tange-Seiki Terious 

Fork Material:

steel 

Fork Blade Shape:

straight 

Wheelset:

deep-V 

Front Derailleur:

nothing to see here, folks 

Crankset:

Lasco 

Chain Rings:

130 BCD 46 t 

Crank Arm Length:

(size 56) 170 mm 

Brake Levers:

Tektro AL570 

Brake Calipers:

Tektro 

Handlebar:

SE bullhorn 

Handlebar Width:

(size 56) 40 cm 

Bar Tape:

SE tape 

Stem Length:

(size 56) 80 mm 

Chain:

KMC 

Rear Sprocket Range:

17 t 

Tires:

Freedom thickslick 

Tire Size:

700 x 28 c 

Seat Collar:

alloy clamp 

Saddle:

SE Racing 

Weight:

23 lb 15 oz 

Measured Effective Top-Tube Length:

(size 56) 56.5 cm 

Recommended Use:

finding fixed-gear zen 

Manufacturer Warranty:

(frame and fork) lifetime, (components) 1 year