No. Not if you keep close to the original circumfrence.
Go to the link below and try some wheel size and tire size and profile combinations to see how much they vary and what you can use. Idealy you want to stay within 1 or 2% of original.
I listed two random examples to give you an idea. I am not sure of your original tire size.
You can see an almost 12% difference in the first example, and about a 2% difference in the second example. That is how much power/accelleration you can expect to loose.
http://www.miata.net/garage/tirecalc.html
Specification Sidewall Radius Diameter Circumference Revs/Mile Difference
185/60-14 4.4in 11.4in 22.7in 71.4in 887 0.0%
195/35-20 2.7in 12.7in 25.4in 79.7in 795 11.6%
Specification Sidewall Radius Diameter Circumference Revs/Mile Difference
185/60-14 4.4in 11.4in 22.7in 71.4in 887 0.0%
195/40-17 3.1in 11.6in 23.1in 72.7in 872 1.8%
You can loose a little because of heavier tire being more work for the engine to turn but it is not as much as when you change the gearing with a taller tire. You also loose with a wider tire offering more roling and wind resistance, but that again is small and might only be noticeable in your gas milage. Many times a lighter aluminum wheel will ofset those other drawbacks, but it won't cancel out higher gearing from a taller tire.