By simply taking the definition you can define it easily:
define laplace(f,t,s)=int( f*e^(-s*t),t, 0,infinity) | s>0
Nspire CAS is able to compute the laplace transforms of functions such
as polinomials, sine, cosine, and rational functions. It's not very
powerful, but it's allready something. To get a more powerfull laplace
transform function one has to think a little bit more about the
convergence domains of the transform and about manipulating adequately
the integrals.
If you want to use always t as the integration variable and s as the
transform variable you can omit those two arguments, although I
wouldn't reccommend it.
Nelson