In NFHS yes, in the NCAA no.
NFHS:
2003-04 NFHS BASKETBALL RULES INTERPRETATIONS
SITUATION 13: Technical foul shooter A1 attempts the first free throw and substitute A6 attempts the second.
RULING: Legal. Technical foul free throws may be attempted by any player or eligible substitute.
Therefore, two different players may attempt the throws. (8-3)
NCAA: 2006-07 Rules Book
Rule 8 Free Throw
Section 2. Who Attempts
Art. 3. Technical fouls
The free throws awarded because of any technical foul may be attempted by a player on the offended team, including an entering player, who shall be designated by the head coach or captain of the offended team;
however, the same player shall shoot both free throws.
I keep reusing this post. This is now the third time that I have posted it.