Yes.
Section 3 of the LGPLv2.1 allows it to be "upgraded" to GPLv2+. So any method of linking, or even direct copying of code, may be used when combining an LGPLv2.1-only or LGPLv2.1+ work with a GPLv3 work. The combined work would be licensed under GPLv3.
This is also confirmed by the compatibility matrix in the GPL FAQ.
- You may opt to apply the terms of the ordinary GNU General Public License instead of this License to a given copy of the Library. To do
this, you must alter all the notices that refer to this License, so
that they refer to the ordinary GNU General Public License, version 2,
instead of to this License. (If a newer version than version 2 of the
ordinary GNU General Public License has appeared, then you can specify
that version instead if you wish.) Do not make any other change in
these notices.