Short answer. Yes. Rule 79, Section 1 lets any interested person state in writing the grounds opposing the issuance of letters testamentary to a named executor, and expressly allows a petition for letters of administration with the will annexed to be filed at the same time, rather than requiring you to wait for the opposition to be resolved first.
What the law says
Any person interested in a will may state in writing the grounds why letters testamentary should not issue to the persons named therein as executors, or any of them, and the court, after hearing upon notice, shall pass upon the sufficiency of such grounds. A petition may, at the same time, be filed for letters of administration with the will annexed.
Rule 79, Section 1 — Opposition to issuance of letters testamentary. Simultaneous petition for administration. Read the full provision →
The right to oppose letters testamentary
Rule 79, Section 1 gives any person interested in a will the right to state in writing the grounds why letters testamentary — the document authorizing an executor named in the will to act — should not issue to the person or persons named as executors, or to any of them individually. This opposition has to be put in writing and has to set out actual grounds, not simply a general objection to the person named.
The court's role: passing on the sufficiency of the grounds
Once the grounds are stated, the article requires the court to act on them through a specific process: the court, after hearing upon notice, shall pass upon the sufficiency of such grounds. So your opposition is not simply filed and left pending indefinitely — the rule contemplates a notice, a hearing, and a ruling from the court on whether the grounds you raised are actually sufficient to block the named executor from receiving letters testamentary.
Filing for administration with the will annexed at the same time
Directly answering your question, the same section provides that a petition may, at the same time, be filed for letters of administration with the will annexed. This means you are not required to wait until your opposition to the named executor is resolved before asking the court to appoint an administrator instead — the two can be put before the court simultaneously, with the administration petition proceeding alongside the opposition rather than only after it succeeds.
Why this matters practically
Filing both at once lets the court consider, in one proceeding, both whether the named executor should be disqualified and who should administer the estate if that opposition succeeds. Rather than opposing first and only later scrambling to propose an alternative once letters testamentary are refused, the article's structure allows the administration question to be raised and heard together with the opposition from the start.