Can cosmic radiation (alpha radiation) transmute the material of a space craft, particular carbon, titanium and aluminum?
Where can i find transmutation tables or formulas to calculate the possibility of a transmutation and the outcome?
Happens all the time. Low background neutrino detectors have to contend with the products: short lived, light isotopes that are created in after cosmic rays knock some neutrons loose from other material (neutron spallation).
There is not, however, anything like a table for human consumption. The size of the data set is prohibitively large. It is available in a form for computer consumption as Evaluated Nuclear Data Files plus the cosmic ray spectrum (which I don't have a link for off hand). If you are interested in what happens after the cosmic ray showers you'll need a full Monte Carlo: CRY or something equivalent.
Mind you, when I say "happens all the time" I am talking about a small number of atoms per second in any reasonable volume of matter, which means that you basically can't notice it without building a sizable low background detector because of the pure number or atoms in any given macroscopic sample of mass.
Remember class, Avogodro's number is very, very big indeed.