Can I use parachute fabric to cover an aircraft fuselage and wings?
Is there an experimental aircraft association in your country? I would advise you to get into contact with them for better advice.

If you want to know whether this fabric is good enough for covering your airplane, you should plan to perform a load test on the finished airplane. For this you need to know which loads the structure will have to endure. That would be about three or four times the weight of the aircraft on the wings and a proportional amount of load on the tail surfaces. Also consider asymmetrical loading conditions - the photo implies you want to cover a fuselage, and there torsional loads will probably produce the highest stresses. 

Another consideration are dynamic and aeroelastic loads. Here it is not only the absolute tensile or compressive strength that counts, but also the stiffness of your structure. The material has an influence, but the way you build the airframe is even more important (think fiber direction - fabric has different properties in different directions). Therefore, I cannot give a good answer without more details.

Lastly, how you finish the fabric will have a lot of influence how long the material will endure in real life. Do you intend to use dope? At least plan to add UV protection coating on top.