Can the protocols for purification of small RNAs from cells in the appendices of the AllPrep DNA/RNA 96 Handbook also be used with tissue samples?

No. Tissue lysis generates more debris than cell lysis. This additional debris is not compatible with the special binding conditions for small RNAs using the Allprep DNA/RNA 96 Kit, and can lead to a reduction of up to 50% or more in RNA yield.