Short answer. Yes. The Labor Code allows an apprenticeship scheme to be undertaken or sponsored by a single employer, by a group or association of employers, or by a civic organization. Where a group sponsors, the actual training may take place in the premises of one or several designated firms.
What the law says
Any of the apprenticeship schemes recognized herein may be undertaken or sponsored by a single employer or firm or by a group or association thereof or by a civic organization.
Labor Code, Article 64 — Sponsoring An Apprenticeship Program. Read the full provision →
The sponsor and the training site are separate questions
The article puts it plainly: any of the apprenticeship schemes recognized herein may be undertaken or sponsored by a single employer or firm or by a group or association thereof or by a civic organization. It then deals separately with where the training happens. For an individual programme, that is the sponsoring employer's premises. For a programme sponsored by a group, an association of employers or a civic organisation, training may be in the premises of one or several designated firms. And for either, it may instead take place in a labour department training centre or other public training institution.
Why group sponsorship is worth allowing
A single small firm often cannot mount a credible programme on its own — it lacks the range of work, the equipment or anyone who can be spared to instruct. Pooling solves that, which is why the Code lets an industry association or a civic organisation act as sponsor and lets the training rotate through several designated firms. The apprentice gets exposure to more of the trade than any one workshop could offer, and the burden of instruction is shared rather than falling on a firm that cannot carry it.
"Designated" is the word to hold on to
Training under a group programme happens in the premises of one or several designated firms, not wherever a member firm happens to need hands that month. Designation implies a decision made as part of the programme's design, identifying which establishments will do the training. An apprentice moved between member companies according to whose production is busiest, with no designation behind it, is being deployed rather than trained, and the difference is exactly what the word is doing in the sentence.
Know who your agreement is with
Under a group programme the entity that signed your apprenticeship agreement and the firm whose floor you stand on may not be the same. Establish which is which at the start, and keep the agreement, because the training obligation rests on the party that bound itself to train you. If a dispute arises, the first question a lawyer will ask is who the counterparty is — and in a pooled programme that is a question the apprentice frequently cannot answer.