I take 34" pant, is the medium gonna work?

Tech Specs:

Material:

[shell], 100% nylon dobby with Hydroblock DWR; [lining], chamois fleece (polyester) 

Fabric Waterproof Rating:

5000 mm 

Fabric Breathability Rating:

5000 g/m˛ 

Insulation:

, chamois fleece lining 

Fit:

alpine 

Venting:

no 

Gaiters:

yes 

Seams:

critical seams taped 

Waist:

belt loops, adjustable tabs 

Pockets:

2 front, 2 back 

RECCO:

no 

Recommended Use:

skiing 

Manufacturer Warranty:

lifetime