Yes, the loan documents do include the concept of not allowing the Borrower to incur other loans/debt without lender's consent.
The entirety of the loan document package includes a requirement for the borrower to protect the collateral pledged to the lender, including lien encumbrance and priority.
Specifically, the following paragraph is found just before the signature page of all first-position security instruments generated with GoDocs.
"THIS MORTGAGE IS A FIRST MORTGAGE. NO FURTHER ENCUMBRANCES MAY BE RECORDED AGAINST THE MORTGAGED PROPERTY WITHOUT THE PRIOR WRITTEN CONSENT OF LENDER. FAILURE TO COMPLY WITH THIS PROVISION SHALL CONSTITUTE AN EVENT OF DEFAULT AND AT LENDER'S OPTION THE LOAN SHALL IMMEDIATELY BECOME DUE AND PAYABLE."
Additional language can be found throughout the loan documents as well.