Yes you can, and without additional costs if all ´epigrafos´ are compatible.
There is a number code for each ´epigrafo´ and your gestor needs to arrange for an ´alta´ in each relevant one, because to be able to deduct profession related costs, you need to be registered as Autonomo for that profession.
Don’t forget that after arranging for the additional epigrafos with the Tax Office, you also need to inform the TGSS about them. It could be that one of them is more high-risk re cover for work related accidents or illnesses and that your contribution needs to be adjusted.
Please note that for different kinds of business activities you might be required to invoice with different IVA percentages. Best to have your gestor advise you.