is this a brown recluse spider?
No, this is not a Brown Recluse.  There are several reasons for saying that, among them the fact that it's outside; it's hanging on a screen, and it doesn't look at all like a Brown Recluse - (Recluses don't have a rectangular cephalothorax "head end", and they have a bulbous abdomen, not that pointy-ended one this spider has).
As for what it is, there are some good clues - first that rectangular-looking cephalothporax.  That's pretty unusual in spiders, although it's not actually rectangular; it's just the central dark pattern is very blocky.  Then, look at that color - kind of a creamy light mahogany rather than a real brown, and no darker/lighter patterns that the bigger wandering spiders that look like this would have.  Finally, look how it's holding its legs - both the front pairs are close together.  That's something you tend to see in two sorts of spiders - the big Argiope orbweavers, and the big Fishing Spiders and their relatives.  Argiopes have a different body shape, pattern and color than this, and it would be a little unusual to find one this size hanging around not in a web.  Fishing Spiders are generally dark-colored, and with more patterning than this, but there is a close relative that fits this image:  the Nursery-web Spider, Pisaurina mira.  Here's the Bug Guide page, and a representative photo:

https://bugguide.net/node/view/2919