XSL: How do I use "and" operator to compare a position and if node exist

Yes, you can check a node existence just by mentioning its name in the test string.

Here's an example with the following improvements:
1) Use templates instead of for-each
2) Use <xsl:text> instead of <xsl:value-of select="'/'"/>
 I'm not sure, what's your goal besides printing out ONE/TWO, so I've removed that "position() != last()" test.

<?xml version="1.0"?>
<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform">
	<xsl:template match="/">
		<xsl:apply-templates select="Compl/person"/>
	</xsl:template>
	
	<xsl:template match="person|misc">
		<xsl:value-of select="@Type"/>
	      <xsl:if test="misc">
	      	<xsl:text>/</xsl:text>
            <xsl:apply-templates select="misc"/>
	      </xsl:if>
 	</xsl:template>
</xsl:stylesheet>

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That is exacxtly how you need to use "and"

But I think you want more than that

you need a
<xsl:value-of select="misc/@Type"/>
too
for the "Two"

Maybe you were thinking in terms of

<xsl:for-each select="Compl/person/@Type | Compl/person/misc/@Type">
      <xsl:if test="not(position() = 1)">
            <xsl:text>/</xsl:text>
      </xsl:if>
      <xsl:value-of select="."/>
</xsl:for-each> 

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is making the Type attributes the selected node-set

i need the position() in case there are more <person> then i want to seperate the @type with "/"

in this example, i'd want CCC/AAA/III/AAA

            <person Type="CCC">
                  <Name>
                        <Fname>TEMP</Fname>
                        <Lname>ANYTHING</Lname>
                  </Name>
            </person>
            <person Type="AAA">
                  <Name>
                        <Fname>TEMP</Fname>
                        <Lname>ANYTHING</Lname>
                  </Name>
                  <misc Type="III">
                        <Fname>TEMP</Fname>
                        <Lname>ANYTHING</Lname>
                  </misc>
            </person>
            <person Type="AAA">
                  <Name>
                        <Fname>TEMP</Fname>
                        <Lname>ANYTHING</Lname>
                  </Name>
            </person>

OK, but you have the "two" in the misc/@Type inside Person,
that is what caused my comment
So you will need a "/" between Types inside the same person and between persons,
hence my suggestion to collect the nodest of wanted @Type attributes

OK, I did not see your example before posting.
But the approach with the @Type nodeset will give you that

thx. that worked.

welcome